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Finding the Third Proportional to 140,951 and 218,393

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Solution

The third proportional to 140,951 and 218,393 is: 338,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,951 : 218,393 = 218,393 : x
  2. Step 2: Convert to fraction form
    140,951/218,393 = 218,393/x
  3. Step 3: Cross multiply
    140,951x = 218,393 × 218,393
  4. Step 4: Simplify right side
    140,951x = 47,695,502,449
  5. Step 5: Solve for x
    x = 47,695,502,449/140,951
  6. Step 6: Final answer
    x = 338,383.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.