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Finding the Third Proportional to 87,340 and 187,145

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Solution

The third proportional to 87,340 and 187,145 is: 400,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,340 : 187,145 = 187,145 : x
  2. Step 2: Convert to fraction form
    87,340/187,145 = 187,145/x
  3. Step 3: Cross multiply
    87,340x = 187,145 × 187,145
  4. Step 4: Simplify right side
    87,340x = 35,023,251,025
  5. Step 5: Solve for x
    x = 35,023,251,025/87,340
  6. Step 6: Final answer
    x = 400,998.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.