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Finding the Third Proportional to 138,096 and 297,927

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Solution

The third proportional to 138,096 and 297,927 is: 642,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,096 : 297,927 = 297,927 : x
  2. Step 2: Convert to fraction form
    138,096/297,927 = 297,927/x
  3. Step 3: Cross multiply
    138,096x = 297,927 × 297,927
  4. Step 4: Simplify right side
    138,096x = 88,760,497,329
  5. Step 5: Solve for x
    x = 88,760,497,329/138,096
  6. Step 6: Final answer
    x = 642,744.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.