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Finding the Third Proportional to 7,939.50 and 17,758

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Solution

The third proportional to 7,939.50 and 17,758 is: 39,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,939.50 : 17,758 = 17,758 : x
  2. Step 2: Convert to fraction form
    7,939.50/17,758 = 17,758/x
  3. Step 3: Cross multiply
    7,939.50x = 17,758 × 17,758
  4. Step 4: Simplify right side
    7,939.50x = 315,346,564
  5. Step 5: Solve for x
    x = 315,346,564/7,939.50
  6. Step 6: Final answer
    x = 39,718.69

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.