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Finding the Third Proportional to 3,667.78 and 5,655.45

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Solution

The third proportional to 3,667.78 and 5,655.45 is: 8,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.78 : 5,655.45 = 5,655.45 : x
  2. Step 2: Convert to fraction form
    3,667.78/5,655.45 = 5,655.45/x
  3. Step 3: Cross multiply
    3,667.78x = 5,655.45 × 5,655.45
  4. Step 4: Simplify right side
    3,667.78x = 31,984,061.68
  5. Step 5: Solve for x
    x = 31,984,061.68/3,667.78
  6. Step 6: Final answer
    x = 8,720.28

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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.