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Finding the Third Proportional to 90,099 and 138,201.19

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Solution

The third proportional to 90,099 and 138,201.19 is: 211,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,099 : 138,201.19 = 138,201.19 : x
  2. Step 2: Convert to fraction form
    90,099/138,201.19 = 138,201.19/x
  3. Step 3: Cross multiply
    90,099x = 138,201.19 × 138,201.19
  4. Step 4: Simplify right side
    90,099x = 19,099,568,226.41
  5. Step 5: Solve for x
    x = 19,099,568,226.41/90,099
  6. Step 6: Final answer
    x = 211,984.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.