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Finding the Third Proportional to 417,846 and 636,564

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Solution

The third proportional to 417,846 and 636,564 is: 969,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,846 : 636,564 = 636,564 : x
  2. Step 2: Convert to fraction form
    417,846/636,564 = 636,564/x
  3. Step 3: Cross multiply
    417,846x = 636,564 × 636,564
  4. Step 4: Simplify right side
    417,846x = 405,213,726,096
  5. Step 5: Solve for x
    x = 405,213,726,096/417,846
  6. Step 6: Final answer
    x = 969,768.11

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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.