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Finding the Third Proportional to 165,555 and 256,290.75

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Solution

The third proportional to 165,555 and 256,290.75 is: 396,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,555 : 256,290.75 = 256,290.75 : x
  2. Step 2: Convert to fraction form
    165,555/256,290.75 = 256,290.75/x
  3. Step 3: Cross multiply
    165,555x = 256,290.75 × 256,290.75
  4. Step 4: Simplify right side
    165,555x = 65,684,948,535.56
  5. Step 5: Solve for x
    x = 65,684,948,535.56/165,555
  6. Step 6: Final answer
    x = 396,756.05

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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.