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Finding the Third Proportional to 5,279.55 and 7,110.91

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Solution

The third proportional to 5,279.55 and 7,110.91 is: 9,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.55 : 7,110.91 = 7,110.91 : x
  2. Step 2: Convert to fraction form
    5,279.55/7,110.91 = 7,110.91/x
  3. Step 3: Cross multiply
    5,279.55x = 7,110.91 × 7,110.91
  4. Step 4: Simplify right side
    5,279.55x = 50,565,098.80
  5. Step 5: Solve for x
    x = 50,565,098.80/5,279.55
  6. Step 6: Final answer
    x = 9,577.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.