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Finding the Third Proportional to 3,052.69 and 6,048.42

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Solution

The third proportional to 3,052.69 and 6,048.42 is: 11,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.69 : 6,048.42 = 6,048.42 : x
  2. Step 2: Convert to fraction form
    3,052.69/6,048.42 = 6,048.42/x
  3. Step 3: Cross multiply
    3,052.69x = 6,048.42 × 6,048.42
  4. Step 4: Simplify right side
    3,052.69x = 36,583,407.18
  5. Step 5: Solve for x
    x = 36,583,407.18/3,052.69
  6. Step 6: Final answer
    x = 11,984.00

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.