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Finding the Third Proportional to 172,569 and 266,550

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Solution

The third proportional to 172,569 and 266,550 is: 411,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,569 : 266,550 = 266,550 : x
  2. Step 2: Convert to fraction form
    172,569/266,550 = 266,550/x
  3. Step 3: Cross multiply
    172,569x = 266,550 × 266,550
  4. Step 4: Simplify right side
    172,569x = 71,048,902,500
  5. Step 5: Solve for x
    x = 71,048,902,500/172,569
  6. Step 6: Final answer
    x = 411,713.01

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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.