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Finding the Third Proportional to 80,851.50 and 172,786.13

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Solution

The third proportional to 80,851.50 and 172,786.13 is: 369,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,851.50 : 172,786.13 = 172,786.13 : x
  2. Step 2: Convert to fraction form
    80,851.50/172,786.13 = 172,786.13/x
  3. Step 3: Cross multiply
    80,851.50x = 172,786.13 × 172,786.13
  4. Step 4: Simplify right side
    80,851.50x = 29,855,044,992.52
  5. Step 5: Solve for x
    x = 29,855,044,992.52/80,851.50
  6. Step 6: Final answer
    x = 369,257.77

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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.