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Finding the Third Proportional to 127,422 and 202,434

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Solution

The third proportional to 127,422 and 202,434 is: 321,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,422 : 202,434 = 202,434 : x
  2. Step 2: Convert to fraction form
    127,422/202,434 = 202,434/x
  3. Step 3: Cross multiply
    127,422x = 202,434 × 202,434
  4. Step 4: Simplify right side
    127,422x = 40,979,524,356
  5. Step 5: Solve for x
    x = 40,979,524,356/127,422
  6. Step 6: Final answer
    x = 321,604.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.