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Finding the Third Proportional to 87,370 and 130,919

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Solution

The third proportional to 87,370 and 130,919 is: 196,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,370 : 130,919 = 130,919 : x
  2. Step 2: Convert to fraction form
    87,370/130,919 = 130,919/x
  3. Step 3: Cross multiply
    87,370x = 130,919 × 130,919
  4. Step 4: Simplify right side
    87,370x = 17,139,784,561
  5. Step 5: Solve for x
    x = 17,139,784,561/87,370
  6. Step 6: Final answer
    x = 196,174.71

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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.