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Finding the Third Proportional to 86,399 and 133,486

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Solution

The third proportional to 86,399 and 133,486 is: 206,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,399 : 133,486 = 133,486 : x
  2. Step 2: Convert to fraction form
    86,399/133,486 = 133,486/x
  3. Step 3: Cross multiply
    86,399x = 133,486 × 133,486
  4. Step 4: Simplify right side
    86,399x = 17,818,512,196
  5. Step 5: Solve for x
    x = 17,818,512,196/86,399
  6. Step 6: Final answer
    x = 206,235.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.