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Finding the Third Proportional to 55,350 and 86,481

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Solution

The third proportional to 55,350 and 86,481 is: 135,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,350 : 86,481 = 86,481 : x
  2. Step 2: Convert to fraction form
    55,350/86,481 = 86,481/x
  3. Step 3: Cross multiply
    55,350x = 86,481 × 86,481
  4. Step 4: Simplify right side
    55,350x = 7,478,963,361
  5. Step 5: Solve for x
    x = 7,478,963,361/55,350
  6. Step 6: Final answer
    x = 135,121.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.