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Finding the Third Proportional to 138,268.50 and 296,121

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Solution

The third proportional to 138,268.50 and 296,121 is: 634,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,268.50 : 296,121 = 296,121 : x
  2. Step 2: Convert to fraction form
    138,268.50/296,121 = 296,121/x
  3. Step 3: Cross multiply
    138,268.50x = 296,121 × 296,121
  4. Step 4: Simplify right side
    138,268.50x = 87,687,646,641
  5. Step 5: Solve for x
    x = 87,687,646,641/138,268.50
  6. Step 6: Final answer
    x = 634,183.83

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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.