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Finding the Third Proportional to 109,339 and 178,542

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Solution

The third proportional to 109,339 and 178,542 is: 291,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,339 : 178,542 = 178,542 : x
  2. Step 2: Convert to fraction form
    109,339/178,542 = 178,542/x
  3. Step 3: Cross multiply
    109,339x = 178,542 × 178,542
  4. Step 4: Simplify right side
    109,339x = 31,877,245,764
  5. Step 5: Solve for x
    x = 31,877,245,764/109,339
  6. Step 6: Final answer
    x = 291,545.06

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.