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Finding the Third Proportional to 323,549,119,762.50 and 703,413,693,279

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Solution

The third proportional to 323,549,119,762.50 and 703,413,693,279 is: 1,529,260,299,813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,549,119,762.50 : 703,413,693,279 = 703,413,693,279 : x
  2. Step 2: Convert to fraction form
    323,549,119,762.50/703,413,693,279 = 703,413,693,279/x
  3. Step 3: Cross multiply
    323,549,119,762.50x = 703,413,693,279 × 703,413,693,279
  4. Step 4: Simplify right side
    323,549,119,762.50x = 494,790,823,892,403,112,378,368
  5. Step 5: Solve for x
    x = 494,790,823,892,403,112,378,368/323,549,119,762.50
  6. Step 6: Final answer
    x = 1,529,260,299,813.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.