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Finding the Third Proportional to 127,749.66 and 198,370.27

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Solution

The third proportional to 127,749.66 and 198,370.27 is: 308,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,749.66 : 198,370.27 = 198,370.27 : x
  2. Step 2: Convert to fraction form
    127,749.66/198,370.27 = 198,370.27/x
  3. Step 3: Cross multiply
    127,749.66x = 198,370.27 × 198,370.27
  4. Step 4: Simplify right side
    127,749.66x = 39,350,762,284.13
  5. Step 5: Solve for x
    x = 39,350,762,284.13/127,749.66
  6. Step 6: Final answer
    x = 308,030.28

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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.