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Finding the Third Proportional to 79,827.61 and 120,074.91

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Solution

The third proportional to 79,827.61 and 120,074.91 is: 180,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,827.61 : 120,074.91 = 120,074.91 : x
  2. Step 2: Convert to fraction form
    79,827.61/120,074.91 = 120,074.91/x
  3. Step 3: Cross multiply
    79,827.61x = 120,074.91 × 120,074.91
  4. Step 4: Simplify right side
    79,827.61x = 14,417,983,110.95
  5. Step 5: Solve for x
    x = 14,417,983,110.95/79,827.61
  6. Step 6: Final answer
    x = 180,613.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.