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Finding the Third Proportional to 4,072.78 and 6,558.05

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Solution

The third proportional to 4,072.78 and 6,558.05 is: 10,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.78 : 6,558.05 = 6,558.05 : x
  2. Step 2: Convert to fraction form
    4,072.78/6,558.05 = 6,558.05/x
  3. Step 3: Cross multiply
    4,072.78x = 6,558.05 × 6,558.05
  4. Step 4: Simplify right side
    4,072.78x = 43,007,978.81
  5. Step 5: Solve for x
    x = 43,007,978.81/4,072.78
  6. Step 6: Final answer
    x = 10,559.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.