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Finding the Third Proportional to 3,187.69 and 4,780.69

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Solution

The third proportional to 3,187.69 and 4,780.69 is: 7,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.69 : 4,780.69 = 4,780.69 : x
  2. Step 2: Convert to fraction form
    3,187.69/4,780.69 = 4,780.69/x
  3. Step 3: Cross multiply
    3,187.69x = 4,780.69 × 4,780.69
  4. Step 4: Simplify right side
    3,187.69x = 22,854,972.97
  5. Step 5: Solve for x
    x = 22,854,972.97/3,187.69
  6. Step 6: Final answer
    x = 7,169.77

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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.