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Finding the Third Proportional to 172,766 and 266,529

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Solution

The third proportional to 172,766 and 266,529 is: 411,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,766 : 266,529 = 266,529 : x
  2. Step 2: Convert to fraction form
    172,766/266,529 = 266,529/x
  3. Step 3: Cross multiply
    172,766x = 266,529 × 266,529
  4. Step 4: Simplify right side
    172,766x = 71,037,707,841
  5. Step 5: Solve for x
    x = 71,037,707,841/172,766
  6. Step 6: Final answer
    x = 411,178.75

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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.