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Finding the Third Proportional to 89,247 and 138,192

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Solution

The third proportional to 89,247 and 138,192 is: 213,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,247 : 138,192 = 138,192 : x
  2. Step 2: Convert to fraction form
    89,247/138,192 = 138,192/x
  3. Step 3: Cross multiply
    89,247x = 138,192 × 138,192
  4. Step 4: Simplify right side
    89,247x = 19,097,028,864
  5. Step 5: Solve for x
    x = 19,097,028,864/89,247
  6. Step 6: Final answer
    x = 213,979.50

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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.