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Finding the Third Proportional to 127,788 and 198,063

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Solution

The third proportional to 127,788 and 198,063 is: 306,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,788 : 198,063 = 198,063 : x
  2. Step 2: Convert to fraction form
    127,788/198,063 = 198,063/x
  3. Step 3: Cross multiply
    127,788x = 198,063 × 198,063
  4. Step 4: Simplify right side
    127,788x = 39,228,951,969
  5. Step 5: Solve for x
    x = 39,228,951,969/127,788
  6. Step 6: Final answer
    x = 306,984.63

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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.