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Finding the Third Proportional to 172,704 and 266,439

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Solution

The third proportional to 172,704 and 266,439 is: 411,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,704 : 266,439 = 266,439 : x
  2. Step 2: Convert to fraction form
    172,704/266,439 = 266,439/x
  3. Step 3: Cross multiply
    172,704x = 266,439 × 266,439
  4. Step 4: Simplify right side
    172,704x = 70,989,740,721
  5. Step 5: Solve for x
    x = 70,989,740,721/172,704
  6. Step 6: Final answer
    x = 411,048.62

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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.