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Finding the Third Proportional to 161,800 and 253,261

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Solution

The third proportional to 161,800 and 253,261 is: 396,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,800 : 253,261 = 253,261 : x
  2. Step 2: Convert to fraction form
    161,800/253,261 = 253,261/x
  3. Step 3: Cross multiply
    161,800x = 253,261 × 253,261
  4. Step 4: Simplify right side
    161,800x = 64,141,134,121
  5. Step 5: Solve for x
    x = 64,141,134,121/161,800
  6. Step 6: Final answer
    x = 396,422.34

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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.