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Finding the Third Proportional to 9,044.25 and 19,552.13

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Solution

The third proportional to 9,044.25 and 19,552.13 is: 42,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044.25 : 19,552.13 = 19,552.13 : x
  2. Step 2: Convert to fraction form
    9,044.25/19,552.13 = 19,552.13/x
  3. Step 3: Cross multiply
    9,044.25x = 19,552.13 × 19,552.13
  4. Step 4: Simplify right side
    9,044.25x = 382,285,592.02
  5. Step 5: Solve for x
    x = 382,285,592.02/9,044.25
  6. Step 6: Final answer
    x = 42,268.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.