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Finding the Third Proportional to 87,838.50 and 191,715

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Solution

The third proportional to 87,838.50 and 191,715 is: 418,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,838.50 : 191,715 = 191,715 : x
  2. Step 2: Convert to fraction form
    87,838.50/191,715 = 191,715/x
  3. Step 3: Cross multiply
    87,838.50x = 191,715 × 191,715
  4. Step 4: Simplify right side
    87,838.50x = 36,754,641,225
  5. Step 5: Solve for x
    x = 36,754,641,225/87,838.50
  6. Step 6: Final answer
    x = 418,434.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.