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Finding the Third Proportional to 417,924 and 636,678

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Solution

The third proportional to 417,924 and 636,678 is: 969,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,924 : 636,678 = 636,678 : x
  2. Step 2: Convert to fraction form
    417,924/636,678 = 636,678/x
  3. Step 3: Cross multiply
    417,924x = 636,678 × 636,678
  4. Step 4: Simplify right side
    417,924x = 405,358,875,684
  5. Step 5: Solve for x
    x = 405,358,875,684/417,924
  6. Step 6: Final answer
    x = 969,934.43

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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.