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Finding the Third Proportional to 131,750 and 198,786

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Solution

The third proportional to 131,750 and 198,786 is: 299,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,750 : 198,786 = 198,786 : x
  2. Step 2: Convert to fraction form
    131,750/198,786 = 198,786/x
  3. Step 3: Cross multiply
    131,750x = 198,786 × 198,786
  4. Step 4: Simplify right side
    131,750x = 39,515,873,796
  5. Step 5: Solve for x
    x = 39,515,873,796/131,750
  6. Step 6: Final answer
    x = 299,930.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.