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Finding the Third Proportional to 431,488 and 646,908

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Solution

The third proportional to 431,488 and 646,908 is: 969,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,488 : 646,908 = 646,908 : x
  2. Step 2: Convert to fraction form
    431,488/646,908 = 646,908/x
  3. Step 3: Cross multiply
    431,488x = 646,908 × 646,908
  4. Step 4: Simplify right side
    431,488x = 418,489,960,464
  5. Step 5: Solve for x
    x = 418,489,960,464/431,488
  6. Step 6: Final answer
    x = 969,876.24

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