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Finding the Third Proportional to 87,364 and 130,909

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Solution

The third proportional to 87,364 and 130,909 is: 196,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,364 : 130,909 = 130,909 : x
  2. Step 2: Convert to fraction form
    87,364/130,909 = 130,909/x
  3. Step 3: Cross multiply
    87,364x = 130,909 × 130,909
  4. Step 4: Simplify right side
    87,364x = 17,137,166,281
  5. Step 5: Solve for x
    x = 17,137,166,281/87,364
  6. Step 6: Final answer
    x = 196,158.21

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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.