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Finding the Third Proportional to 138,472 and 298,164

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Solution

The third proportional to 138,472 and 298,164 is: 642,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,472 : 298,164 = 298,164 : x
  2. Step 2: Convert to fraction form
    138,472/298,164 = 298,164/x
  3. Step 3: Cross multiply
    138,472x = 298,164 × 298,164
  4. Step 4: Simplify right side
    138,472x = 88,901,770,896
  5. Step 5: Solve for x
    x = 88,901,770,896/138,472
  6. Step 6: Final answer
    x = 642,019.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.