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Finding the Third Proportional to 89,318 and 138,173

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Solution

The third proportional to 89,318 and 138,173 is: 213,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,318 : 138,173 = 138,173 : x
  2. Step 2: Convert to fraction form
    89,318/138,173 = 138,173/x
  3. Step 3: Cross multiply
    89,318x = 138,173 × 138,173
  4. Step 4: Simplify right side
    89,318x = 19,091,777,929
  5. Step 5: Solve for x
    x = 19,091,777,929/89,318
  6. Step 6: Final answer
    x = 213,750.62

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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.