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Finding the Third Proportional to 90,726.75 and 140,170.50

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Solution

The third proportional to 90,726.75 and 140,170.50 is: 216,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,726.75 : 140,170.50 = 140,170.50 : x
  2. Step 2: Convert to fraction form
    90,726.75/140,170.50 = 140,170.50/x
  3. Step 3: Cross multiply
    90,726.75x = 140,170.50 × 140,170.50
  4. Step 4: Simplify right side
    90,726.75x = 19,647,769,070.25
  5. Step 5: Solve for x
    x = 19,647,769,070.25/90,726.75
  6. Step 6: Final answer
    x = 216,559.82

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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.