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Finding the Third Proportional to 90,959 and 191,344

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Solution

The third proportional to 90,959 and 191,344 is: 402,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,959 : 191,344 = 191,344 : x
  2. Step 2: Convert to fraction form
    90,959/191,344 = 191,344/x
  3. Step 3: Cross multiply
    90,959x = 191,344 × 191,344
  4. Step 4: Simplify right side
    90,959x = 36,612,526,336
  5. Step 5: Solve for x
    x = 36,612,526,336/90,959
  6. Step 6: Final answer
    x = 402,516.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.