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Finding the Third Proportional to 172,230 and 251,540

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Solution

The third proportional to 172,230 and 251,540 is: 367,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,230 : 251,540 = 251,540 : x
  2. Step 2: Convert to fraction form
    172,230/251,540 = 251,540/x
  3. Step 3: Cross multiply
    172,230x = 251,540 × 251,540
  4. Step 4: Simplify right side
    172,230x = 63,272,371,600
  5. Step 5: Solve for x
    x = 63,272,371,600/172,230
  6. Step 6: Final answer
    x = 367,371.37

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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.