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Finding the Third Proportional to 172,145 and 251,373

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Solution

The third proportional to 172,145 and 251,373 is: 367,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,145 : 251,373 = 251,373 : x
  2. Step 2: Convert to fraction form
    172,145/251,373 = 251,373/x
  3. Step 3: Cross multiply
    172,145x = 251,373 × 251,373
  4. Step 4: Simplify right side
    172,145x = 63,188,385,129
  5. Step 5: Solve for x
    x = 63,188,385,129/172,145
  6. Step 6: Final answer
    x = 367,064.89

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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.