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Finding the Third Proportional to 7,942.50 and 17,478

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Solution

The third proportional to 7,942.50 and 17,478 is: 38,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.50 : 17,478 = 17,478 : x
  2. Step 2: Convert to fraction form
    7,942.50/17,478 = 17,478/x
  3. Step 3: Cross multiply
    7,942.50x = 17,478 × 17,478
  4. Step 4: Simplify right side
    7,942.50x = 305,480,484
  5. Step 5: Solve for x
    x = 305,480,484/7,942.50
  6. Step 6: Final answer
    x = 38,461.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.