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Finding the Third Proportional to 86,098 and 129,145

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Solution

The third proportional to 86,098 and 129,145 is: 193,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,098 : 129,145 = 129,145 : x
  2. Step 2: Convert to fraction form
    86,098/129,145 = 129,145/x
  3. Step 3: Cross multiply
    86,098x = 129,145 × 129,145
  4. Step 4: Simplify right side
    86,098x = 16,678,431,025
  5. Step 5: Solve for x
    x = 16,678,431,025/86,098
  6. Step 6: Final answer
    x = 193,714.50

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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.