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Finding the Third Proportional to 12,655.50 and 18,879

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Solution

The third proportional to 12,655.50 and 18,879 is: 28,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.50 : 18,879 = 18,879 : x
  2. Step 2: Convert to fraction form
    12,655.50/18,879 = 18,879/x
  3. Step 3: Cross multiply
    12,655.50x = 18,879 × 18,879
  4. Step 4: Simplify right side
    12,655.50x = 356,416,641
  5. Step 5: Solve for x
    x = 356,416,641/12,655.50
  6. Step 6: Final answer
    x = 28,162.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.