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Finding the Third Proportional to 87,138 and 130,590

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Solution

The third proportional to 87,138 and 130,590 is: 195,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,138 : 130,590 = 130,590 : x
  2. Step 2: Convert to fraction form
    87,138/130,590 = 130,590/x
  3. Step 3: Cross multiply
    87,138x = 130,590 × 130,590
  4. Step 4: Simplify right side
    87,138x = 17,053,748,100
  5. Step 5: Solve for x
    x = 17,053,748,100/87,138
  6. Step 6: Final answer
    x = 195,709.66

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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.