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Finding the Third Proportional to 387,362 and 843,316

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Solution

The third proportional to 387,362 and 843,316 is: 1,835,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,362 : 843,316 = 843,316 : x
  2. Step 2: Convert to fraction form
    387,362/843,316 = 843,316/x
  3. Step 3: Cross multiply
    387,362x = 843,316 × 843,316
  4. Step 4: Simplify right side
    387,362x = 711,181,875,856
  5. Step 5: Solve for x
    x = 711,181,875,856/387,362
  6. Step 6: Final answer
    x = 1,835,961.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.