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Finding the Third Proportional to 135,839 and 298,570

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Solution

The third proportional to 135,839 and 298,570 is: 656,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,839 : 298,570 = 298,570 : x
  2. Step 2: Convert to fraction form
    135,839/298,570 = 298,570/x
  3. Step 3: Cross multiply
    135,839x = 298,570 × 298,570
  4. Step 4: Simplify right side
    135,839x = 89,144,044,900
  5. Step 5: Solve for x
    x = 89,144,044,900/135,839
  6. Step 6: Final answer
    x = 656,247.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.