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Finding the Third Proportional to 87,360 and 130,903

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Solution

The third proportional to 87,360 and 130,903 is: 196,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,360 : 130,903 = 130,903 : x
  2. Step 2: Convert to fraction form
    87,360/130,903 = 130,903/x
  3. Step 3: Cross multiply
    87,360x = 130,903 × 130,903
  4. Step 4: Simplify right side
    87,360x = 17,135,595,409
  5. Step 5: Solve for x
    x = 17,135,595,409/87,360
  6. Step 6: Final answer
    x = 196,149.21

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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.