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Finding the Third Proportional to 55,700 and 86,302

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Solution

The third proportional to 55,700 and 86,302 is: 133,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,700 : 86,302 = 86,302 : x
  2. Step 2: Convert to fraction form
    55,700/86,302 = 86,302/x
  3. Step 3: Cross multiply
    55,700x = 86,302 × 86,302
  4. Step 4: Simplify right side
    55,700x = 7,448,035,204
  5. Step 5: Solve for x
    x = 7,448,035,204/55,700
  6. Step 6: Final answer
    x = 133,716.97

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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.