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Finding the Third Proportional to 473.78 and 711.09

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Solution

The third proportional to 473.78 and 711.09 is: 1,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 711.09 = 711.09 : x
  2. Step 2: Convert to fraction form
    473.78/711.09 = 711.09/x
  3. Step 3: Cross multiply
    473.78x = 711.09 × 711.09
  4. Step 4: Simplify right side
    473.78x = 505,654.32
  5. Step 5: Solve for x
    x = 505,654.32/473.78
  6. Step 6: Final answer
    x = 1,067.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.