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Finding the Third Proportional to 138,717 and 298,485

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Solution

The third proportional to 138,717 and 298,485 is: 642,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,717 : 298,485 = 298,485 : x
  2. Step 2: Convert to fraction form
    138,717/298,485 = 298,485/x
  3. Step 3: Cross multiply
    138,717x = 298,485 × 298,485
  4. Step 4: Simplify right side
    138,717x = 89,093,295,225
  5. Step 5: Solve for x
    x = 89,093,295,225/138,717
  6. Step 6: Final answer
    x = 642,266.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.