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Finding the Third Proportional to 89,704.13 and 121,879.69

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Solution

The third proportional to 89,704.13 and 121,879.69 is: 165,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,704.13 : 121,879.69 = 121,879.69 : x
  2. Step 2: Convert to fraction form
    89,704.13/121,879.69 = 121,879.69/x
  3. Step 3: Cross multiply
    89,704.13x = 121,879.69 × 121,879.69
  4. Step 4: Simplify right side
    89,704.13x = 14,854,658,225.10
  5. Step 5: Solve for x
    x = 14,854,658,225.10/89,704.13
  6. Step 6: Final answer
    x = 165,596.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.