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Finding the Third Proportional to 138,186 and 286,760

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Solution

The third proportional to 138,186 and 286,760 is: 595,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,186 : 286,760 = 286,760 : x
  2. Step 2: Convert to fraction form
    138,186/286,760 = 286,760/x
  3. Step 3: Cross multiply
    138,186x = 286,760 × 286,760
  4. Step 4: Simplify right side
    138,186x = 82,231,297,600
  5. Step 5: Solve for x
    x = 82,231,297,600/138,186
  6. Step 6: Final answer
    x = 595,076.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.