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Finding the Third Proportional to 52,586 and 81,471

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Solution

The third proportional to 52,586 and 81,471 is: 126,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,586 : 81,471 = 81,471 : x
  2. Step 2: Convert to fraction form
    52,586/81,471 = 81,471/x
  3. Step 3: Cross multiply
    52,586x = 81,471 × 81,471
  4. Step 4: Simplify right side
    52,586x = 6,637,523,841
  5. Step 5: Solve for x
    x = 6,637,523,841/52,586
  6. Step 6: Final answer
    x = 126,222.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.