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Finding the Third Proportional to 161,865.25 and 253,919

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Solution

The third proportional to 161,865.25 and 253,919 is: 398,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,865.25 : 253,919 = 253,919 : x
  2. Step 2: Convert to fraction form
    161,865.25/253,919 = 253,919/x
  3. Step 3: Cross multiply
    161,865.25x = 253,919 × 253,919
  4. Step 4: Simplify right side
    161,865.25x = 64,474,858,561
  5. Step 5: Solve for x
    x = 64,474,858,561/161,865.25
  6. Step 6: Final answer
    x = 398,324.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.