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Finding the Third Proportional to 431,489 and 938,731

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Solution

The third proportional to 431,489 and 938,731 is: 2,042,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,489 : 938,731 = 938,731 : x
  2. Step 2: Convert to fraction form
    431,489/938,731 = 938,731/x
  3. Step 3: Cross multiply
    431,489x = 938,731 × 938,731
  4. Step 4: Simplify right side
    431,489x = 881,215,890,361
  5. Step 5: Solve for x
    x = 881,215,890,361/431,489
  6. Step 6: Final answer
    x = 2,042,267.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.