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Finding the Third Proportional to 55,863 and 86,535

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Solution

The third proportional to 55,863 and 86,535 is: 134,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,863 : 86,535 = 86,535 : x
  2. Step 2: Convert to fraction form
    55,863/86,535 = 86,535/x
  3. Step 3: Cross multiply
    55,863x = 86,535 × 86,535
  4. Step 4: Simplify right side
    55,863x = 7,488,306,225
  5. Step 5: Solve for x
    x = 7,488,306,225/55,863
  6. Step 6: Final answer
    x = 134,047.69

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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.