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Finding the Third Proportional to 3,315.28 and 7,149.47

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Solution

The third proportional to 3,315.28 and 7,149.47 is: 15,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.28 : 7,149.47 = 7,149.47 : x
  2. Step 2: Convert to fraction form
    3,315.28/7,149.47 = 7,149.47/x
  3. Step 3: Cross multiply
    3,315.28x = 7,149.47 × 7,149.47
  4. Step 4: Simplify right side
    3,315.28x = 51,114,903.41
  5. Step 5: Solve for x
    x = 51,114,903.41/3,315.28
  6. Step 6: Final answer
    x = 15,417.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.