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Finding the Third Proportional to 90,260 and 140,324

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Solution

The third proportional to 90,260 and 140,324 is: 218,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,260 : 140,324 = 140,324 : x
  2. Step 2: Convert to fraction form
    90,260/140,324 = 140,324/x
  3. Step 3: Cross multiply
    90,260x = 140,324 × 140,324
  4. Step 4: Simplify right side
    90,260x = 19,690,824,976
  5. Step 5: Solve for x
    x = 19,690,824,976/90,260
  6. Step 6: Final answer
    x = 218,156.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.