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Finding the Third Proportional to 9,121.13 and 19,972.31

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Solution

The third proportional to 9,121.13 and 19,972.31 is: 43,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.13 : 19,972.31 = 19,972.31 : x
  2. Step 2: Convert to fraction form
    9,121.13/19,972.31 = 19,972.31/x
  3. Step 3: Cross multiply
    9,121.13x = 19,972.31 × 19,972.31
  4. Step 4: Simplify right side
    9,121.13x = 398,893,266.60
  5. Step 5: Solve for x
    x = 398,893,266.60/9,121.13
  6. Step 6: Final answer
    x = 43,732.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.