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Finding the Third Proportional to 89,309 and 138,225

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Solution

The third proportional to 89,309 and 138,225 is: 213,933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,309 : 138,225 = 138,225 : x
  2. Step 2: Convert to fraction form
    89,309/138,225 = 138,225/x
  3. Step 3: Cross multiply
    89,309x = 138,225 × 138,225
  4. Step 4: Simplify right side
    89,309x = 19,106,150,625
  5. Step 5: Solve for x
    x = 19,106,150,625/89,309
  6. Step 6: Final answer
    x = 213,933.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.