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Finding the Third Proportional to 89,252 and 138,274

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Solution

The third proportional to 89,252 and 138,274 is: 214,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,252 : 138,274 = 138,274 : x
  2. Step 2: Convert to fraction form
    89,252/138,274 = 138,274/x
  3. Step 3: Cross multiply
    89,252x = 138,274 × 138,274
  4. Step 4: Simplify right side
    89,252x = 19,119,699,076
  5. Step 5: Solve for x
    x = 19,119,699,076/89,252
  6. Step 6: Final answer
    x = 214,221.52

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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.