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Finding the Third Proportional to 86,306 and 133,251

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Solution

The third proportional to 86,306 and 133,251 is: 205,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,306 : 133,251 = 133,251 : x
  2. Step 2: Convert to fraction form
    86,306/133,251 = 133,251/x
  3. Step 3: Cross multiply
    86,306x = 133,251 × 133,251
  4. Step 4: Simplify right side
    86,306x = 17,755,829,001
  5. Step 5: Solve for x
    x = 17,755,829,001/86,306
  6. Step 6: Final answer
    x = 205,731.11

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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.