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Finding the Third Proportional to 268.21 and 569.32

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Solution

The third proportional to 268.21 and 569.32 is: 1,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.21 : 569.32 = 569.32 : x
  2. Step 2: Convert to fraction form
    268.21/569.32 = 569.32/x
  3. Step 3: Cross multiply
    268.21x = 569.32 × 569.32
  4. Step 4: Simplify right side
    268.21x = 324,125.62
  5. Step 5: Solve for x
    x = 324,125.62/268.21
  6. Step 6: Final answer
    x = 1,208.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.