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Finding the Third Proportional to 172,143 and 251,370

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Solution

The third proportional to 172,143 and 251,370 is: 367,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,143 : 251,370 = 251,370 : x
  2. Step 2: Convert to fraction form
    172,143/251,370 = 251,370/x
  3. Step 3: Cross multiply
    172,143x = 251,370 × 251,370
  4. Step 4: Simplify right side
    172,143x = 63,186,876,900
  5. Step 5: Solve for x
    x = 63,186,876,900/172,143
  6. Step 6: Final answer
    x = 367,060.39

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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.