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Finding the Third Proportional to 420,924 and 631,866

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Solution

The third proportional to 420,924 and 631,866 is: 948,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,924 : 631,866 = 631,866 : x
  2. Step 2: Convert to fraction form
    420,924/631,866 = 631,866/x
  3. Step 3: Cross multiply
    420,924x = 631,866 × 631,866
  4. Step 4: Simplify right side
    420,924x = 399,254,641,956
  5. Step 5: Solve for x
    x = 399,254,641,956/420,924
  6. Step 6: Final answer
    x = 948,519.55

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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.