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Finding the Third Proportional to 277.78 and 569.06

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Solution

The third proportional to 277.78 and 569.06 is: 1,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.78 : 569.06 = 569.06 : x
  2. Step 2: Convert to fraction form
    277.78/569.06 = 569.06/x
  3. Step 3: Cross multiply
    277.78x = 569.06 × 569.06
  4. Step 4: Simplify right side
    277.78x = 323,832.13
  5. Step 5: Solve for x
    x = 323,832.13/277.78
  6. Step 6: Final answer
    x = 1,165.78

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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.