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Finding the Third Proportional to 83,690.72 and 129,230.44

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Solution

The third proportional to 83,690.72 and 129,230.44 is: 199,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,690.72 : 129,230.44 = 129,230.44 : x
  2. Step 2: Convert to fraction form
    83,690.72/129,230.44 = 129,230.44/x
  3. Step 3: Cross multiply
    83,690.72x = 129,230.44 × 129,230.44
  4. Step 4: Simplify right side
    83,690.72x = 16,700,505,976.44
  5. Step 5: Solve for x
    x = 16,700,505,976.44/83,690.72
  6. Step 6: Final answer
    x = 199,550.28

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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.