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Finding the Third Proportional to 7,144.75 and 15,672.88

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Solution

The third proportional to 7,144.75 and 15,672.88 is: 34,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.75 : 15,672.88 = 15,672.88 : x
  2. Step 2: Convert to fraction form
    7,144.75/15,672.88 = 15,672.88/x
  3. Step 3: Cross multiply
    7,144.75x = 15,672.88 × 15,672.88
  4. Step 4: Simplify right side
    7,144.75x = 245,639,010.77
  5. Step 5: Solve for x
    x = 245,639,010.77/7,144.75
  6. Step 6: Final answer
    x = 34,380.35

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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.