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Finding the Third Proportional to 90,279 and 191,654

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Solution

The third proportional to 90,279 and 191,654 is: 406,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,279 : 191,654 = 191,654 : x
  2. Step 2: Convert to fraction form
    90,279/191,654 = 191,654/x
  3. Step 3: Cross multiply
    90,279x = 191,654 × 191,654
  4. Step 4: Simplify right side
    90,279x = 36,731,255,716
  5. Step 5: Solve for x
    x = 36,731,255,716/90,279
  6. Step 6: Final answer
    x = 406,863.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.