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Finding the Third Proportional to 17,820 and 38,026.97

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Solution

The third proportional to 17,820 and 38,026.97 is: 81,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820 : 38,026.97 = 38,026.97 : x
  2. Step 2: Convert to fraction form
    17,820/38,026.97 = 38,026.97/x
  3. Step 3: Cross multiply
    17,820x = 38,026.97 × 38,026.97
  4. Step 4: Simplify right side
    17,820x = 1,446,050,352.31
  5. Step 5: Solve for x
    x = 1,446,050,352.31/17,820
  6. Step 6: Final answer
    x = 81,147.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.