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Finding the Third Proportional to 86,306 and 135,615

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Solution

The third proportional to 86,306 and 135,615 is: 213,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,306 : 135,615 = 135,615 : x
  2. Step 2: Convert to fraction form
    86,306/135,615 = 135,615/x
  3. Step 3: Cross multiply
    86,306x = 135,615 × 135,615
  4. Step 4: Simplify right side
    86,306x = 18,391,428,225
  5. Step 5: Solve for x
    x = 18,391,428,225/86,306
  6. Step 6: Final answer
    x = 213,095.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.