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Finding the Third Proportional to 263,265.75 and 289,098

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Solution

The third proportional to 263,265.75 and 289,098 is: 317,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,265.75 : 289,098 = 289,098 : x
  2. Step 2: Convert to fraction form
    263,265.75/289,098 = 289,098/x
  3. Step 3: Cross multiply
    263,265.75x = 289,098 × 289,098
  4. Step 4: Simplify right side
    263,265.75x = 83,577,653,604
  5. Step 5: Solve for x
    x = 83,577,653,604/263,265.75
  6. Step 6: Final answer
    x = 317,464.97

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.