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Finding the Third Proportional to 7,180.31 and 15,315.75

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Solution

The third proportional to 7,180.31 and 15,315.75 is: 32,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.31 : 15,315.75 = 15,315.75 : x
  2. Step 2: Convert to fraction form
    7,180.31/15,315.75 = 15,315.75/x
  3. Step 3: Cross multiply
    7,180.31x = 15,315.75 × 15,315.75
  4. Step 4: Simplify right side
    7,180.31x = 234,572,198.06
  5. Step 5: Solve for x
    x = 234,572,198.06/7,180.31
  6. Step 6: Final answer
    x = 32,668.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.