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Finding the Third Proportional to 135,121 and 296,186

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Solution

The third proportional to 135,121 and 296,186 is: 649,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,121 : 296,186 = 296,186 : x
  2. Step 2: Convert to fraction form
    135,121/296,186 = 296,186/x
  3. Step 3: Cross multiply
    135,121x = 296,186 × 296,186
  4. Step 4: Simplify right side
    135,121x = 87,726,146,596
  5. Step 5: Solve for x
    x = 87,726,146,596/135,121
  6. Step 6: Final answer
    x = 649,241.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.