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Finding the Third Proportional to 1,561.78 and 3,382.70

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Solution

The third proportional to 1,561.78 and 3,382.70 is: 7,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.78 : 3,382.70 = 3,382.70 : x
  2. Step 2: Convert to fraction form
    1,561.78/3,382.70 = 3,382.70/x
  3. Step 3: Cross multiply
    1,561.78x = 3,382.70 × 3,382.70
  4. Step 4: Simplify right side
    1,561.78x = 11,442,654.00
  5. Step 5: Solve for x
    x = 11,442,654.00/1,561.78
  6. Step 6: Final answer
    x = 7,326.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.