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Finding the Third Proportional to 127,954.69 and 198,676.55

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Solution

The third proportional to 127,954.69 and 198,676.55 is: 308,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,954.69 : 198,676.55 = 198,676.55 : x
  2. Step 2: Convert to fraction form
    127,954.69/198,676.55 = 198,676.55/x
  3. Step 3: Cross multiply
    127,954.69x = 198,676.55 × 198,676.55
  4. Step 4: Simplify right side
    127,954.69x = 39,472,370,278.17
  5. Step 5: Solve for x
    x = 39,472,370,278.17/127,954.69
  6. Step 6: Final answer
    x = 308,487.10

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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.