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Finding the Third Proportional to 79,081 and 172,754

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Solution

The third proportional to 79,081 and 172,754 is: 377,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,081 : 172,754 = 172,754 : x
  2. Step 2: Convert to fraction form
    79,081/172,754 = 172,754/x
  3. Step 3: Cross multiply
    79,081x = 172,754 × 172,754
  4. Step 4: Simplify right side
    79,081x = 29,843,944,516
  5. Step 5: Solve for x
    x = 29,843,944,516/79,081
  6. Step 6: Final answer
    x = 377,384.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.