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Finding the Third Proportional to 90,938 and 140,295

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Solution

The third proportional to 90,938 and 140,295 is: 216,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,938 : 140,295 = 140,295 : x
  2. Step 2: Convert to fraction form
    90,938/140,295 = 140,295/x
  3. Step 3: Cross multiply
    90,938x = 140,295 × 140,295
  4. Step 4: Simplify right side
    90,938x = 19,682,687,025
  5. Step 5: Solve for x
    x = 19,682,687,025/90,938
  6. Step 6: Final answer
    x = 216,440.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.