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Finding the Third Proportional to 178,156 and 261,402

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Solution

The third proportional to 178,156 and 261,402 is: 383,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,156 : 261,402 = 261,402 : x
  2. Step 2: Convert to fraction form
    178,156/261,402 = 261,402/x
  3. Step 3: Cross multiply
    178,156x = 261,402 × 261,402
  4. Step 4: Simplify right side
    178,156x = 68,331,005,604
  5. Step 5: Solve for x
    x = 68,331,005,604/178,156
  6. Step 6: Final answer
    x = 383,545.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.