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Finding the Third Proportional to 4,778.16 and 7,380.28

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Solution

The third proportional to 4,778.16 and 7,380.28 is: 11,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.16 : 7,380.28 = 7,380.28 : x
  2. Step 2: Convert to fraction form
    4,778.16/7,380.28 = 7,380.28/x
  3. Step 3: Cross multiply
    4,778.16x = 7,380.28 × 7,380.28
  4. Step 4: Simplify right side
    4,778.16x = 54,468,551.33
  5. Step 5: Solve for x
    x = 54,468,551.33/4,778.16
  6. Step 6: Final answer
    x = 11,399.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.