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Finding the Third Proportional to 177,781.50 and 270,128.25

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Solution

The third proportional to 177,781.50 and 270,128.25 is: 410,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,781.50 : 270,128.25 = 270,128.25 : x
  2. Step 2: Convert to fraction form
    177,781.50/270,128.25 = 270,128.25/x
  3. Step 3: Cross multiply
    177,781.50x = 270,128.25 × 270,128.25
  4. Step 4: Simplify right side
    177,781.50x = 72,969,271,448.06
  5. Step 5: Solve for x
    x = 72,969,271,448.06/177,781.50
  6. Step 6: Final answer
    x = 410,443.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.