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Finding the Third Proportional to 55,540 and 86,024

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Solution

The third proportional to 55,540 and 86,024 is: 133,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,540 : 86,024 = 86,024 : x
  2. Step 2: Convert to fraction form
    55,540/86,024 = 86,024/x
  3. Step 3: Cross multiply
    55,540x = 86,024 × 86,024
  4. Step 4: Simplify right side
    55,540x = 7,400,128,576
  5. Step 5: Solve for x
    x = 7,400,128,576/55,540
  6. Step 6: Final answer
    x = 133,239.62

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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.