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Finding the Third Proportional to 520.17 and 778.36

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Solution

The third proportional to 520.17 and 778.36 is: 1,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.17 : 778.36 = 778.36 : x
  2. Step 2: Convert to fraction form
    520.17/778.36 = 778.36/x
  3. Step 3: Cross multiply
    520.17x = 778.36 × 778.36
  4. Step 4: Simplify right side
    520.17x = 605,843.32
  5. Step 5: Solve for x
    x = 605,843.32/520.17
  6. Step 6: Final answer
    x = 1,164.70

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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.