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Finding the Third Proportional to 172,987 and 375,493

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Solution

The third proportional to 172,987 and 375,493 is: 815,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,987 : 375,493 = 375,493 : x
  2. Step 2: Convert to fraction form
    172,987/375,493 = 375,493/x
  3. Step 3: Cross multiply
    172,987x = 375,493 × 375,493
  4. Step 4: Simplify right side
    172,987x = 140,994,993,049
  5. Step 5: Solve for x
    x = 140,994,993,049/172,987
  6. Step 6: Final answer
    x = 815,061.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.