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Finding the Third Proportional to 278 and 569

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Solution

The third proportional to 278 and 569 is: 1,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278 : 569 = 569 : x
  2. Step 2: Convert to fraction form
    278/569 = 569/x
  3. Step 3: Cross multiply
    278x = 569 × 569
  4. Step 4: Simplify right side
    278x = 323,761
  5. Step 5: Solve for x
    x = 323,761/278
  6. Step 6: Final answer
    x = 1,164.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.