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Finding the Third Proportional to 80,782.13 and 172,560.38

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Solution

The third proportional to 80,782.13 and 172,560.38 is: 368,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,782.13 : 172,560.38 = 172,560.38 : x
  2. Step 2: Convert to fraction form
    80,782.13/172,560.38 = 172,560.38/x
  3. Step 3: Cross multiply
    80,782.13x = 172,560.38 × 172,560.38
  4. Step 4: Simplify right side
    80,782.13x = 29,777,083,020.14
  5. Step 5: Solve for x
    x = 29,777,083,020.14/80,782.13
  6. Step 6: Final answer
    x = 368,609.80

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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.