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Finding the Third Proportional to 420,883 and 631,811

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Solution

The third proportional to 420,883 and 631,811 is: 948,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,883 : 631,811 = 631,811 : x
  2. Step 2: Convert to fraction form
    420,883/631,811 = 631,811/x
  3. Step 3: Cross multiply
    420,883x = 631,811 × 631,811
  4. Step 4: Simplify right side
    420,883x = 399,185,139,721
  5. Step 5: Solve for x
    x = 399,185,139,721/420,883
  6. Step 6: Final answer
    x = 948,446.81

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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.