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Finding the Third Proportional to 120,399.75 and 186,319.13

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Solution

The third proportional to 120,399.75 and 186,319.13 is: 288,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,399.75 : 186,319.13 = 186,319.13 : x
  2. Step 2: Convert to fraction form
    120,399.75/186,319.13 = 186,319.13/x
  3. Step 3: Cross multiply
    120,399.75x = 186,319.13 × 186,319.13
  4. Step 4: Simplify right side
    120,399.75x = 34,714,816,340.77
  5. Step 5: Solve for x
    x = 34,714,816,340.77/120,399.75
  6. Step 6: Final answer
    x = 288,329.64

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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.