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Finding the Third Proportional to 87,100 and 130,310

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Solution

The third proportional to 87,100 and 130,310 is: 194,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,100 : 130,310 = 130,310 : x
  2. Step 2: Convert to fraction form
    87,100/130,310 = 130,310/x
  3. Step 3: Cross multiply
    87,100x = 130,310 × 130,310
  4. Step 4: Simplify right side
    87,100x = 16,980,696,100
  5. Step 5: Solve for x
    x = 16,980,696,100/87,100
  6. Step 6: Final answer
    x = 194,956.33

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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.