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Finding the Third Proportional to 420,929 and 631,874

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Solution

The third proportional to 420,929 and 631,874 is: 948,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,929 : 631,874 = 631,874 : x
  2. Step 2: Convert to fraction form
    420,929/631,874 = 631,874/x
  3. Step 3: Cross multiply
    420,929x = 631,874 × 631,874
  4. Step 4: Simplify right side
    420,929x = 399,264,751,876
  5. Step 5: Solve for x
    x = 399,264,751,876/420,929
  6. Step 6: Final answer
    x = 948,532.30

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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.