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Finding the Third Proportional to 5,138.44 and 7,705.13

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Solution

The third proportional to 5,138.44 and 7,705.13 is: 11,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.44 : 7,705.13 = 7,705.13 : x
  2. Step 2: Convert to fraction form
    5,138.44/7,705.13 = 7,705.13/x
  3. Step 3: Cross multiply
    5,138.44x = 7,705.13 × 7,705.13
  4. Step 4: Simplify right side
    5,138.44x = 59,368,951.27
  5. Step 5: Solve for x
    x = 59,368,951.27/5,138.44
  6. Step 6: Final answer
    x = 11,553.89

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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.