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Finding the Third Proportional to 135,746 and 298,261

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Solution

The third proportional to 135,746 and 298,261 is: 655,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,746 : 298,261 = 298,261 : x
  2. Step 2: Convert to fraction form
    135,746/298,261 = 298,261/x
  3. Step 3: Cross multiply
    135,746x = 298,261 × 298,261
  4. Step 4: Simplify right side
    135,746x = 88,959,624,121
  5. Step 5: Solve for x
    x = 88,959,624,121/135,746
  6. Step 6: Final answer
    x = 655,338.82

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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.