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Finding the Third Proportional to 138,521 and 298,912

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Solution

The third proportional to 138,521 and 298,912 is: 645,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,521 : 298,912 = 298,912 : x
  2. Step 2: Convert to fraction form
    138,521/298,912 = 298,912/x
  3. Step 3: Cross multiply
    138,521x = 298,912 × 298,912
  4. Step 4: Simplify right side
    138,521x = 89,348,383,744
  5. Step 5: Solve for x
    x = 89,348,383,744/138,521
  6. Step 6: Final answer
    x = 645,016.88

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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.