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Finding the Third Proportional to 172,312 and 251,782

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Solution

The third proportional to 172,312 and 251,782 is: 367,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,312 : 251,782 = 251,782 : x
  2. Step 2: Convert to fraction form
    172,312/251,782 = 251,782/x
  3. Step 3: Cross multiply
    172,312x = 251,782 × 251,782
  4. Step 4: Simplify right side
    172,312x = 63,394,175,524
  5. Step 5: Solve for x
    x = 63,394,175,524/172,312
  6. Step 6: Final answer
    x = 367,903.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.