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Finding the Third Proportional to 138,268 and 296,120

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Solution

The third proportional to 138,268 and 296,120 is: 634,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,268 : 296,120 = 296,120 : x
  2. Step 2: Convert to fraction form
    138,268/296,120 = 296,120/x
  3. Step 3: Cross multiply
    138,268x = 296,120 × 296,120
  4. Step 4: Simplify right side
    138,268x = 87,687,054,400
  5. Step 5: Solve for x
    x = 87,687,054,400/138,268
  6. Step 6: Final answer
    x = 634,181.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.