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Finding the Third Proportional to 138,161 and 298,102

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Solution

The third proportional to 138,161 and 298,102 is: 643,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,161 : 298,102 = 298,102 : x
  2. Step 2: Convert to fraction form
    138,161/298,102 = 298,102/x
  3. Step 3: Cross multiply
    138,161x = 298,102 × 298,102
  4. Step 4: Simplify right side
    138,161x = 88,864,802,404
  5. Step 5: Solve for x
    x = 88,864,802,404/138,161
  6. Step 6: Final answer
    x = 643,197.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.