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Finding the Third Proportional to 65,451.80 and 100,081.20

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Solution

The third proportional to 65,451.80 and 100,081.20 is: 153,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,451.80 : 100,081.20 = 100,081.20 : x
  2. Step 2: Convert to fraction form
    65,451.80/100,081.20 = 100,081.20/x
  3. Step 3: Cross multiply
    65,451.80x = 100,081.20 × 100,081.20
  4. Step 4: Simplify right side
    65,451.80x = 10,016,245,655.18
  5. Step 5: Solve for x
    x = 10,016,245,655.18/65,451.80
  6. Step 6: Final answer
    x = 153,032.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.