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Finding the Third Proportional to 8,780.91 and 13,879.27

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Solution

The third proportional to 8,780.91 and 13,879.27 is: 21,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.91 : 13,879.27 = 13,879.27 : x
  2. Step 2: Convert to fraction form
    8,780.91/13,879.27 = 13,879.27/x
  3. Step 3: Cross multiply
    8,780.91x = 13,879.27 × 13,879.27
  4. Step 4: Simplify right side
    8,780.91x = 192,634,014.29
  5. Step 5: Solve for x
    x = 192,634,014.29/8,780.91
  6. Step 6: Final answer
    x = 21,937.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.