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Finding the Third Proportional to 38,590 and 78,252

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Solution

The third proportional to 38,590 and 78,252 is: 158,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,590 : 78,252 = 78,252 : x
  2. Step 2: Convert to fraction form
    38,590/78,252 = 78,252/x
  3. Step 3: Cross multiply
    38,590x = 78,252 × 78,252
  4. Step 4: Simplify right side
    38,590x = 6,123,375,504
  5. Step 5: Solve for x
    x = 6,123,375,504/38,590
  6. Step 6: Final answer
    x = 158,677.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.