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Finding the Third Proportional to 417,664 and 636,288

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Solution

The third proportional to 417,664 and 636,288 is: 969,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,664 : 636,288 = 636,288 : x
  2. Step 2: Convert to fraction form
    417,664/636,288 = 636,288/x
  3. Step 3: Cross multiply
    417,664x = 636,288 × 636,288
  4. Step 4: Simplify right side
    417,664x = 404,862,418,944
  5. Step 5: Solve for x
    x = 404,862,418,944/417,664
  6. Step 6: Final answer
    x = 969,349.57

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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.