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Finding the Third Proportional to 87,138 and 130,347

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Solution

The third proportional to 87,138 and 130,347 is: 194,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,138 : 130,347 = 130,347 : x
  2. Step 2: Convert to fraction form
    87,138/130,347 = 130,347/x
  3. Step 3: Cross multiply
    87,138x = 130,347 × 130,347
  4. Step 4: Simplify right side
    87,138x = 16,990,340,409
  5. Step 5: Solve for x
    x = 16,990,340,409/87,138
  6. Step 6: Final answer
    x = 194,981.99

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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.