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Finding the Third Proportional to 417,654.75 and 636,274.13

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Solution

The third proportional to 417,654.75 and 636,274.13 is: 969,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,654.75 : 636,274.13 = 636,274.13 : x
  2. Step 2: Convert to fraction form
    417,654.75/636,274.13 = 636,274.13/x
  3. Step 3: Cross multiply
    417,654.75x = 636,274.13 × 636,274.13
  4. Step 4: Simplify right side
    417,654.75x = 404,844,762,144.52
  5. Step 5: Solve for x
    x = 404,844,762,144.52/417,654.75
  6. Step 6: Final answer
    x = 969,328.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.