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Finding the Third Proportional to 87,028 and 187,880

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Solution

The third proportional to 87,028 and 187,880 is: 405,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,028 : 187,880 = 187,880 : x
  2. Step 2: Convert to fraction form
    87,028/187,880 = 187,880/x
  3. Step 3: Cross multiply
    87,028x = 187,880 × 187,880
  4. Step 4: Simplify right side
    87,028x = 35,298,894,400
  5. Step 5: Solve for x
    x = 35,298,894,400/87,028
  6. Step 6: Final answer
    x = 405,603.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.