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Finding the Third Proportional to 87,880 and 136,189

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Solution

The third proportional to 87,880 and 136,189 is: 211,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,880 : 136,189 = 136,189 : x
  2. Step 2: Convert to fraction form
    87,880/136,189 = 136,189/x
  3. Step 3: Cross multiply
    87,880x = 136,189 × 136,189
  4. Step 4: Simplify right side
    87,880x = 18,547,443,721
  5. Step 5: Solve for x
    x = 18,547,443,721/87,880
  6. Step 6: Final answer
    x = 211,054.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.