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Finding the Third Proportional to 36,062.72 and 78,909.19

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Solution

The third proportional to 36,062.72 and 78,909.19 is: 172,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,062.72 : 78,909.19 = 78,909.19 : x
  2. Step 2: Convert to fraction form
    36,062.72/78,909.19 = 78,909.19/x
  3. Step 3: Cross multiply
    36,062.72x = 78,909.19 × 78,909.19
  4. Step 4: Simplify right side
    36,062.72x = 6,226,659,871.91
  5. Step 5: Solve for x
    x = 6,226,659,871.91/36,062.72
  6. Step 6: Final answer
    x = 172,661.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.