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Finding the Third Proportional to 9,142.88 and 19,009.13

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Solution

The third proportional to 9,142.88 and 19,009.13 is: 39,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.88 : 19,009.13 = 19,009.13 : x
  2. Step 2: Convert to fraction form
    9,142.88/19,009.13 = 19,009.13/x
  3. Step 3: Cross multiply
    9,142.88x = 19,009.13 × 19,009.13
  4. Step 4: Simplify right side
    9,142.88x = 361,346,833.27
  5. Step 5: Solve for x
    x = 361,346,833.27/9,142.88
  6. Step 6: Final answer
    x = 39,522.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.