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Finding the Third Proportional to 135,854 and 298,604

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Solution

The third proportional to 135,854 and 298,604 is: 656,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,854 : 298,604 = 298,604 : x
  2. Step 2: Convert to fraction form
    135,854/298,604 = 298,604/x
  3. Step 3: Cross multiply
    135,854x = 298,604 × 298,604
  4. Step 4: Simplify right side
    135,854x = 89,164,348,816
  5. Step 5: Solve for x
    x = 89,164,348,816/135,854
  6. Step 6: Final answer
    x = 656,324.80

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