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Finding the Third Proportional to 90,163.50 and 140,348

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Solution

The third proportional to 90,163.50 and 140,348 is: 218,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,163.50 : 140,348 = 140,348 : x
  2. Step 2: Convert to fraction form
    90,163.50/140,348 = 140,348/x
  3. Step 3: Cross multiply
    90,163.50x = 140,348 × 140,348
  4. Step 4: Simplify right side
    90,163.50x = 19,697,561,104
  5. Step 5: Solve for x
    x = 19,697,561,104/90,163.50
  6. Step 6: Final answer
    x = 218,464.91

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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.