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Finding the Third Proportional to 90,249.19 and 140,309.72

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Solution

The third proportional to 90,249.19 and 140,309.72 is: 218,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,249.19 : 140,309.72 = 140,309.72 : x
  2. Step 2: Convert to fraction form
    90,249.19/140,309.72 = 140,309.72/x
  3. Step 3: Cross multiply
    90,249.19x = 140,309.72 × 140,309.72
  4. Step 4: Simplify right side
    90,249.19x = 19,686,817,175.70
  5. Step 5: Solve for x
    x = 19,686,817,175.70/90,249.19
  6. Step 6: Final answer
    x = 218,138.44

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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.