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Finding the Third Proportional to 81,569 and 151,271

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Solution

The third proportional to 81,569 and 151,271 is: 280,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,569 : 151,271 = 151,271 : x
  2. Step 2: Convert to fraction form
    81,569/151,271 = 151,271/x
  3. Step 3: Cross multiply
    81,569x = 151,271 × 151,271
  4. Step 4: Simplify right side
    81,569x = 22,882,915,441
  5. Step 5: Solve for x
    x = 22,882,915,441/81,569
  6. Step 6: Final answer
    x = 280,534.46

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.