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Finding the Third Proportional to 87,600 and 135,289

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Solution

The third proportional to 87,600 and 135,289 is: 208,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,600 : 135,289 = 135,289 : x
  2. Step 2: Convert to fraction form
    87,600/135,289 = 135,289/x
  3. Step 3: Cross multiply
    87,600x = 135,289 × 135,289
  4. Step 4: Simplify right side
    87,600x = 18,303,113,521
  5. Step 5: Solve for x
    x = 18,303,113,521/87,600
  6. Step 6: Final answer
    x = 208,939.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.