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Finding the Third Proportional to 161,887 and 253,397

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Solution

The third proportional to 161,887 and 253,397 is: 396,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,887 : 253,397 = 253,397 : x
  2. Step 2: Convert to fraction form
    161,887/253,397 = 253,397/x
  3. Step 3: Cross multiply
    161,887x = 253,397 × 253,397
  4. Step 4: Simplify right side
    161,887x = 64,210,039,609
  5. Step 5: Solve for x
    x = 64,210,039,609/161,887
  6. Step 6: Final answer
    x = 396,634.93

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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.