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Finding the Third Proportional to 90,161 and 140,344

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Solution

The third proportional to 90,161 and 140,344 is: 218,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,161 : 140,344 = 140,344 : x
  2. Step 2: Convert to fraction form
    90,161/140,344 = 140,344/x
  3. Step 3: Cross multiply
    90,161x = 140,344 × 140,344
  4. Step 4: Simplify right side
    90,161x = 19,696,438,336
  5. Step 5: Solve for x
    x = 19,696,438,336/90,161
  6. Step 6: Final answer
    x = 218,458.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.