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Finding the Third Proportional to 86,986 and 133,287

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Solution

The third proportional to 86,986 and 133,287 is: 204,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,986 : 133,287 = 133,287 : x
  2. Step 2: Convert to fraction form
    86,986/133,287 = 133,287/x
  3. Step 3: Cross multiply
    86,986x = 133,287 × 133,287
  4. Step 4: Simplify right side
    86,986x = 17,765,424,369
  5. Step 5: Solve for x
    x = 17,765,424,369/86,986
  6. Step 6: Final answer
    x = 204,233.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.