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Finding the Third Proportional to 87,904 and 130,212

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Solution

The third proportional to 87,904 and 130,212 is: 192,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,904 : 130,212 = 130,212 : x
  2. Step 2: Convert to fraction form
    87,904/130,212 = 130,212/x
  3. Step 3: Cross multiply
    87,904x = 130,212 × 130,212
  4. Step 4: Simplify right side
    87,904x = 16,955,164,944
  5. Step 5: Solve for x
    x = 16,955,164,944/87,904
  6. Step 6: Final answer
    x = 192,882.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.