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Finding the Third Proportional to 86,098 and 129,233

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Solution

The third proportional to 86,098 and 129,233 is: 193,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,098 : 129,233 = 129,233 : x
  2. Step 2: Convert to fraction form
    86,098/129,233 = 129,233/x
  3. Step 3: Cross multiply
    86,098x = 129,233 × 129,233
  4. Step 4: Simplify right side
    86,098x = 16,701,168,289
  5. Step 5: Solve for x
    x = 16,701,168,289/86,098
  6. Step 6: Final answer
    x = 193,978.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.