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Finding the Third Proportional to 487,638 and 647,229

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Solution

The third proportional to 487,638 and 647,229 is: 859,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,638 : 647,229 = 647,229 : x
  2. Step 2: Convert to fraction form
    487,638/647,229 = 647,229/x
  3. Step 3: Cross multiply
    487,638x = 647,229 × 647,229
  4. Step 4: Simplify right side
    487,638x = 418,905,378,441
  5. Step 5: Solve for x
    x = 418,905,378,441/487,638
  6. Step 6: Final answer
    x = 859,049.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.