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Finding the Third Proportional to 80,357 and 172,807

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Solution

The third proportional to 80,357 and 172,807 is: 371,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,357 : 172,807 = 172,807 : x
  2. Step 2: Convert to fraction form
    80,357/172,807 = 172,807/x
  3. Step 3: Cross multiply
    80,357x = 172,807 × 172,807
  4. Step 4: Simplify right side
    80,357x = 29,862,259,249
  5. Step 5: Solve for x
    x = 29,862,259,249/80,357
  6. Step 6: Final answer
    x = 371,619.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.