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Finding the Third Proportional to 9,132.75 and 19,531.13

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Solution

The third proportional to 9,132.75 and 19,531.13 is: 41,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.75 : 19,531.13 = 19,531.13 : x
  2. Step 2: Convert to fraction form
    9,132.75/19,531.13 = 19,531.13/x
  3. Step 3: Cross multiply
    9,132.75x = 19,531.13 × 19,531.13
  4. Step 4: Simplify right side
    9,132.75x = 381,464,843.77
  5. Step 5: Solve for x
    x = 381,464,843.77/9,132.75
  6. Step 6: Final answer
    x = 41,768.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.