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Finding the Third Proportional to 87,894 and 193,716

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Solution

The third proportional to 87,894 and 193,716 is: 426,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,894 : 193,716 = 193,716 : x
  2. Step 2: Convert to fraction form
    87,894/193,716 = 193,716/x
  3. Step 3: Cross multiply
    87,894x = 193,716 × 193,716
  4. Step 4: Simplify right side
    87,894x = 37,525,888,656
  5. Step 5: Solve for x
    x = 37,525,888,656/87,894
  6. Step 6: Final answer
    x = 426,944.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.