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Finding the Third Proportional to 138,920 and 298,549

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Solution

The third proportional to 138,920 and 298,549 is: 641,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,920 : 298,549 = 298,549 : x
  2. Step 2: Convert to fraction form
    138,920/298,549 = 298,549/x
  3. Step 3: Cross multiply
    138,920x = 298,549 × 298,549
  4. Step 4: Simplify right side
    138,920x = 89,131,505,401
  5. Step 5: Solve for x
    x = 89,131,505,401/138,920
  6. Step 6: Final answer
    x = 641,603.12

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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.