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Finding the Third Proportional to 127,914.19 and 198,615.80

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Solution

The third proportional to 127,914.19 and 198,615.80 is: 308,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,914.19 : 198,615.80 = 198,615.80 : x
  2. Step 2: Convert to fraction form
    127,914.19/198,615.80 = 198,615.80/x
  3. Step 3: Cross multiply
    127,914.19x = 198,615.80 × 198,615.80
  4. Step 4: Simplify right side
    127,914.19x = 39,448,234,768.29
  5. Step 5: Solve for x
    x = 39,448,234,768.29/127,914.19
  6. Step 6: Final answer
    x = 308,396.09

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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.