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Finding the Third Proportional to 7,114.78 and 11,431.55

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Solution

The third proportional to 7,114.78 and 11,431.55 is: 18,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.78 : 11,431.55 = 11,431.55 : x
  2. Step 2: Convert to fraction form
    7,114.78/11,431.55 = 11,431.55/x
  3. Step 3: Cross multiply
    7,114.78x = 11,431.55 × 11,431.55
  4. Step 4: Simplify right side
    7,114.78x = 130,680,263.96
  5. Step 5: Solve for x
    x = 130,680,263.96/7,114.78
  6. Step 6: Final answer
    x = 18,367.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.