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Finding the Third Proportional to 87,414 and 191,640

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Solution

The third proportional to 87,414 and 191,640 is: 420,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,414 : 191,640 = 191,640 : x
  2. Step 2: Convert to fraction form
    87,414/191,640 = 191,640/x
  3. Step 3: Cross multiply
    87,414x = 191,640 × 191,640
  4. Step 4: Simplify right side
    87,414x = 36,725,889,600
  5. Step 5: Solve for x
    x = 36,725,889,600/87,414
  6. Step 6: Final answer
    x = 420,137.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.