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Finding the Third Proportional to 57,646 and 87,239

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Solution

The third proportional to 57,646 and 87,239 is: 132,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,646 : 87,239 = 87,239 : x
  2. Step 2: Convert to fraction form
    57,646/87,239 = 87,239/x
  3. Step 3: Cross multiply
    57,646x = 87,239 × 87,239
  4. Step 4: Simplify right side
    57,646x = 7,610,643,121
  5. Step 5: Solve for x
    x = 7,610,643,121/57,646
  6. Step 6: Final answer
    x = 132,023.79

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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.