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Finding the Third Proportional to 165,480.75 and 255,709.97

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Solution

The third proportional to 165,480.75 and 255,709.97 is: 395,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,480.75 : 255,709.97 = 255,709.97 : x
  2. Step 2: Convert to fraction form
    165,480.75/255,709.97 = 255,709.97/x
  3. Step 3: Cross multiply
    165,480.75x = 255,709.97 × 255,709.97
  4. Step 4: Simplify right side
    165,480.75x = 65,387,588,118.13
  5. Step 5: Solve for x
    x = 65,387,588,118.13/165,480.75
  6. Step 6: Final answer
    x = 395,137.13

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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.