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Finding the Third Proportional to 3,172.92 and 4,315.15

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Solution

The third proportional to 3,172.92 and 4,315.15 is: 5,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.92 : 4,315.15 = 4,315.15 : x
  2. Step 2: Convert to fraction form
    3,172.92/4,315.15 = 4,315.15/x
  3. Step 3: Cross multiply
    3,172.92x = 4,315.15 × 4,315.15
  4. Step 4: Simplify right side
    3,172.92x = 18,620,506.04
  5. Step 5: Solve for x
    x = 18,620,506.04/3,172.92
  6. Step 6: Final answer
    x = 5,868.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.