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Finding the Third Proportional to 127,424 and 202,400

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Solution

The third proportional to 127,424 and 202,400 is: 321,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,424 : 202,400 = 202,400 : x
  2. Step 2: Convert to fraction form
    127,424/202,400 = 202,400/x
  3. Step 3: Cross multiply
    127,424x = 202,400 × 202,400
  4. Step 4: Simplify right side
    127,424x = 40,965,760,000
  5. Step 5: Solve for x
    x = 40,965,760,000/127,424
  6. Step 6: Final answer
    x = 321,491.71

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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.