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Finding the Third Proportional to 13,576.15 and 20,642.13

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Solution

The third proportional to 13,576.15 and 20,642.13 is: 31,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.15 : 20,642.13 = 20,642.13 : x
  2. Step 2: Convert to fraction form
    13,576.15/20,642.13 = 20,642.13/x
  3. Step 3: Cross multiply
    13,576.15x = 20,642.13 × 20,642.13
  4. Step 4: Simplify right side
    13,576.15x = 426,097,647.05
  5. Step 5: Solve for x
    x = 426,097,647.05/13,576.15
  6. Step 6: Final answer
    x = 31,385.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.