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Finding the Third Proportional to 165,513.38 and 256,749.75

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Solution

The third proportional to 165,513.38 and 256,749.75 is: 398,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,513.38 : 256,749.75 = 256,749.75 : x
  2. Step 2: Convert to fraction form
    165,513.38/256,749.75 = 256,749.75/x
  3. Step 3: Cross multiply
    165,513.38x = 256,749.75 × 256,749.75
  4. Step 4: Simplify right side
    165,513.38x = 65,920,434,125.06
  5. Step 5: Solve for x
    x = 65,920,434,125.06/165,513.38
  6. Step 6: Final answer
    x = 398,278.59

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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.