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Finding the Third Proportional to 87,381 and 191,117

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Solution

The third proportional to 87,381 and 191,117 is: 418,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,381 : 191,117 = 191,117 : x
  2. Step 2: Convert to fraction form
    87,381/191,117 = 191,117/x
  3. Step 3: Cross multiply
    87,381x = 191,117 × 191,117
  4. Step 4: Simplify right side
    87,381x = 36,525,707,689
  5. Step 5: Solve for x
    x = 36,525,707,689/87,381
  6. Step 6: Final answer
    x = 418,005.15

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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.