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Finding the Third Proportional to 127,742.06 and 198,355.50

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Solution

The third proportional to 127,742.06 and 198,355.50 is: 308,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,742.06 : 198,355.50 = 198,355.50 : x
  2. Step 2: Convert to fraction form
    127,742.06/198,355.50 = 198,355.50/x
  3. Step 3: Cross multiply
    127,742.06x = 198,355.50 × 198,355.50
  4. Step 4: Simplify right side
    127,742.06x = 39,344,904,380.25
  5. Step 5: Solve for x
    x = 39,344,904,380.25/127,742.06
  6. Step 6: Final answer
    x = 308,002.73

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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.