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Finding the Third Proportional to 56,901 and 86,138

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Solution

The third proportional to 56,901 and 86,138 is: 130,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,901 : 86,138 = 86,138 : x
  2. Step 2: Convert to fraction form
    56,901/86,138 = 86,138/x
  3. Step 3: Cross multiply
    56,901x = 86,138 × 86,138
  4. Step 4: Simplify right side
    56,901x = 7,419,755,044
  5. Step 5: Solve for x
    x = 7,419,755,044/56,901
  6. Step 6: Final answer
    x = 130,397.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.