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Finding the Third Proportional to 86,042 and 138,615

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Solution

The third proportional to 86,042 and 138,615 is: 223,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,042 : 138,615 = 138,615 : x
  2. Step 2: Convert to fraction form
    86,042/138,615 = 138,615/x
  3. Step 3: Cross multiply
    86,042x = 138,615 × 138,615
  4. Step 4: Simplify right side
    86,042x = 19,214,118,225
  5. Step 5: Solve for x
    x = 19,214,118,225/86,042
  6. Step 6: Final answer
    x = 223,310.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.