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Finding the Third Proportional to 417,920 and 636,672

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Solution

The third proportional to 417,920 and 636,672 is: 969,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,920 : 636,672 = 636,672 : x
  2. Step 2: Convert to fraction form
    417,920/636,672 = 636,672/x
  3. Step 3: Cross multiply
    417,920x = 636,672 × 636,672
  4. Step 4: Simplify right side
    417,920x = 405,351,235,584
  5. Step 5: Solve for x
    x = 405,351,235,584/417,920
  6. Step 6: Final answer
    x = 969,925.43

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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.