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Finding the Third Proportional to 89,296 and 138,376

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Solution

The third proportional to 89,296 and 138,376 is: 214,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,296 : 138,376 = 138,376 : x
  2. Step 2: Convert to fraction form
    89,296/138,376 = 138,376/x
  3. Step 3: Cross multiply
    89,296x = 138,376 × 138,376
  4. Step 4: Simplify right side
    89,296x = 19,147,917,376
  5. Step 5: Solve for x
    x = 19,147,917,376/89,296
  6. Step 6: Final answer
    x = 214,431.97

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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.