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Finding the Third Proportional to 161,818 and 253,286

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Solution

The third proportional to 161,818 and 253,286 is: 396,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,818 : 253,286 = 253,286 : x
  2. Step 2: Convert to fraction form
    161,818/253,286 = 253,286/x
  3. Step 3: Cross multiply
    161,818x = 253,286 × 253,286
  4. Step 4: Simplify right side
    161,818x = 64,153,797,796
  5. Step 5: Solve for x
    x = 64,153,797,796/161,818
  6. Step 6: Final answer
    x = 396,456.50

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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.