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Finding the Third Proportional to 3,780.75 and 5,399.06

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Solution

The third proportional to 3,780.75 and 5,399.06 is: 7,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.75 : 5,399.06 = 5,399.06 : x
  2. Step 2: Convert to fraction form
    3,780.75/5,399.06 = 5,399.06/x
  3. Step 3: Cross multiply
    3,780.75x = 5,399.06 × 5,399.06
  4. Step 4: Simplify right side
    3,780.75x = 29,149,875.88
  5. Step 5: Solve for x
    x = 29,149,875.88/3,780.75
  6. Step 6: Final answer
    x = 7,710.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.