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Finding the Third Proportional to 417,944 and 636,708

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Solution

The third proportional to 417,944 and 636,708 is: 969,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,944 : 636,708 = 636,708 : x
  2. Step 2: Convert to fraction form
    417,944/636,708 = 636,708/x
  3. Step 3: Cross multiply
    417,944x = 636,708 × 636,708
  4. Step 4: Simplify right side
    417,944x = 405,397,077,264
  5. Step 5: Solve for x
    x = 405,397,077,264/417,944
  6. Step 6: Final answer
    x = 969,979.42

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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.