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Finding the Third Proportional to 5,116.78 and 11,207.53

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Solution

The third proportional to 5,116.78 and 11,207.53 is: 24,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.78 : 11,207.53 = 11,207.53 : x
  2. Step 2: Convert to fraction form
    5,116.78/11,207.53 = 11,207.53/x
  3. Step 3: Cross multiply
    5,116.78x = 11,207.53 × 11,207.53
  4. Step 4: Simplify right side
    5,116.78x = 125,608,756.72
  5. Step 5: Solve for x
    x = 125,608,756.72/5,116.78
  6. Step 6: Final answer
    x = 24,548.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.