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Finding the Third Proportional to 7,672.50 and 20,307.38

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Solution

The third proportional to 7,672.50 and 20,307.38 is: 53,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.50 : 20,307.38 = 20,307.38 : x
  2. Step 2: Convert to fraction form
    7,672.50/20,307.38 = 20,307.38/x
  3. Step 3: Cross multiply
    7,672.50x = 20,307.38 × 20,307.38
  4. Step 4: Simplify right side
    7,672.50x = 412,389,479.39
  5. Step 5: Solve for x
    x = 412,389,479.39/7,672.50
  6. Step 6: Final answer
    x = 53,749.04

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.