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Finding the Third Proportional to 79,814.11 and 120,307.78

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Solution

The third proportional to 79,814.11 and 120,307.78 is: 181,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,814.11 : 120,307.78 = 120,307.78 : x
  2. Step 2: Convert to fraction form
    79,814.11/120,307.78 = 120,307.78/x
  3. Step 3: Cross multiply
    79,814.11x = 120,307.78 × 120,307.78
  4. Step 4: Simplify right side
    79,814.11x = 14,473,962,229.30
  5. Step 5: Solve for x
    x = 14,473,962,229.30/79,814.11
  6. Step 6: Final answer
    x = 181,345.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.