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Finding the Third Proportional to 172,761 and 266,523

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Solution

The third proportional to 172,761 and 266,523 is: 411,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,761 : 266,523 = 266,523 : x
  2. Step 2: Convert to fraction form
    172,761/266,523 = 266,523/x
  3. Step 3: Cross multiply
    172,761x = 266,523 × 266,523
  4. Step 4: Simplify right side
    172,761x = 71,034,509,529
  5. Step 5: Solve for x
    x = 71,034,509,529/172,761
  6. Step 6: Final answer
    x = 411,172.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.