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Finding the Third Proportional to 89,738 and 138,351

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Solution

The third proportional to 89,738 and 138,351 is: 213,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,738 : 138,351 = 138,351 : x
  2. Step 2: Convert to fraction form
    89,738/138,351 = 138,351/x
  3. Step 3: Cross multiply
    89,738x = 138,351 × 138,351
  4. Step 4: Simplify right side
    89,738x = 19,140,999,201
  5. Step 5: Solve for x
    x = 19,140,999,201/89,738
  6. Step 6: Final answer
    x = 213,298.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.