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Finding the Third Proportional to 4,207.78 and 4,643.37

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Solution

The third proportional to 4,207.78 and 4,643.37 is: 5,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.78 : 4,643.37 = 4,643.37 : x
  2. Step 2: Convert to fraction form
    4,207.78/4,643.37 = 4,643.37/x
  3. Step 3: Cross multiply
    4,207.78x = 4,643.37 × 4,643.37
  4. Step 4: Simplify right side
    4,207.78x = 21,560,858.84
  5. Step 5: Solve for x
    x = 21,560,858.84/4,207.78
  6. Step 6: Final answer
    x = 5,124.04

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.