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Finding the Third Proportional to 161,825 and 253,296

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Solution

The third proportional to 161,825 and 253,296 is: 396,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,825 : 253,296 = 253,296 : x
  2. Step 2: Convert to fraction form
    161,825/253,296 = 253,296/x
  3. Step 3: Cross multiply
    161,825x = 253,296 × 253,296
  4. Step 4: Simplify right side
    161,825x = 64,158,863,616
  5. Step 5: Solve for x
    x = 64,158,863,616/161,825
  6. Step 6: Final answer
    x = 396,470.65

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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.