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Finding the Third Proportional to 3,540 and 7,695.75

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Solution

The third proportional to 3,540 and 7,695.75 is: 16,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540 : 7,695.75 = 7,695.75 : x
  2. Step 2: Convert to fraction form
    3,540/7,695.75 = 7,695.75/x
  3. Step 3: Cross multiply
    3,540x = 7,695.75 × 7,695.75
  4. Step 4: Simplify right side
    3,540x = 59,224,568.06
  5. Step 5: Solve for x
    x = 59,224,568.06/3,540
  6. Step 6: Final answer
    x = 16,730.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.