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Finding the Third Proportional to 547,677 and 816,957

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Solution

The third proportional to 547,677 and 816,957 is: 1,218,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,677 : 816,957 = 816,957 : x
  2. Step 2: Convert to fraction form
    547,677/816,957 = 816,957/x
  3. Step 3: Cross multiply
    547,677x = 816,957 × 816,957
  4. Step 4: Simplify right side
    547,677x = 667,418,739,849
  5. Step 5: Solve for x
    x = 667,418,739,849/547,677
  6. Step 6: Final answer
    x = 1,218,635.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.