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Finding the Third Proportional to 111,569 and 172,275

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Solution

The third proportional to 111,569 and 172,275 is: 266,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,569 : 172,275 = 172,275 : x
  2. Step 2: Convert to fraction form
    111,569/172,275 = 172,275/x
  3. Step 3: Cross multiply
    111,569x = 172,275 × 172,275
  4. Step 4: Simplify right side
    111,569x = 29,678,675,625
  5. Step 5: Solve for x
    x = 29,678,675,625/111,569
  6. Step 6: Final answer
    x = 266,011.85

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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.