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Finding the Third Proportional to 5,279.98 and 11,478.80

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Solution

The third proportional to 5,279.98 and 11,478.80 is: 24,955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.98 : 11,478.80 = 11,478.80 : x
  2. Step 2: Convert to fraction form
    5,279.98/11,478.80 = 11,478.80/x
  3. Step 3: Cross multiply
    5,279.98x = 11,478.80 × 11,478.80
  4. Step 4: Simplify right side
    5,279.98x = 131,762,777.70
  5. Step 5: Solve for x
    x = 131,762,777.70/5,279.98
  6. Step 6: Final answer
    x = 24,955.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.