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Finding the Third Proportional to 1,243.13 and 2,873.67

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Solution

The third proportional to 1,243.13 and 2,873.67 is: 6,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.13 : 2,873.67 = 2,873.67 : x
  2. Step 2: Convert to fraction form
    1,243.13/2,873.67 = 2,873.67/x
  3. Step 3: Cross multiply
    1,243.13x = 2,873.67 × 2,873.67
  4. Step 4: Simplify right side
    1,243.13x = 8,257,990.05
  5. Step 5: Solve for x
    x = 8,257,990.05/1,243.13
  6. Step 6: Final answer
    x = 6,642.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.