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Finding the Third Proportional to 779.78 and 908.88

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Solution

The third proportional to 779.78 and 908.88 is: 1,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.78 : 908.88 = 908.88 : x
  2. Step 2: Convert to fraction form
    779.78/908.88 = 908.88/x
  3. Step 3: Cross multiply
    779.78x = 908.88 × 908.88
  4. Step 4: Simplify right side
    779.78x = 826,057.32
  5. Step 5: Solve for x
    x = 826,057.32/779.78
  6. Step 6: Final answer
    x = 1,059.34

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.