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Finding the Third Proportional to 420,882 and 631,809

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Solution

The third proportional to 420,882 and 631,809 is: 948,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,882 : 631,809 = 631,809 : x
  2. Step 2: Convert to fraction form
    420,882/631,809 = 631,809/x
  3. Step 3: Cross multiply
    420,882x = 631,809 × 631,809
  4. Step 4: Simplify right side
    420,882x = 399,182,612,481
  5. Step 5: Solve for x
    x = 399,182,612,481/420,882
  6. Step 6: Final answer
    x = 948,443.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.