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Finding the Third Proportional to 13,132.13 and 17,693.44

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Solution

The third proportional to 13,132.13 and 17,693.44 is: 23,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.13 : 17,693.44 = 17,693.44 : x
  2. Step 2: Convert to fraction form
    13,132.13/17,693.44 = 17,693.44/x
  3. Step 3: Cross multiply
    13,132.13x = 17,693.44 × 17,693.44
  4. Step 4: Simplify right side
    13,132.13x = 313,057,730.57
  5. Step 5: Solve for x
    x = 313,057,730.57/13,132.13
  6. Step 6: Final answer
    x = 23,839.08

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.