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Finding the Third Proportional to 320,240 and 463,836

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Solution

The third proportional to 320,240 and 463,836 is: 671,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,240 : 463,836 = 463,836 : x
  2. Step 2: Convert to fraction form
    320,240/463,836 = 463,836/x
  3. Step 3: Cross multiply
    320,240x = 463,836 × 463,836
  4. Step 4: Simplify right side
    320,240x = 215,143,834,896
  5. Step 5: Solve for x
    x = 215,143,834,896/320,240
  6. Step 6: Final answer
    x = 671,820.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.