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Finding the Third Proportional to 411.80 and 886.56

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Solution

The third proportional to 411.80 and 886.56 is: 1,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.80 : 886.56 = 886.56 : x
  2. Step 2: Convert to fraction form
    411.80/886.56 = 886.56/x
  3. Step 3: Cross multiply
    411.80x = 886.56 × 886.56
  4. Step 4: Simplify right side
    411.80x = 785,986.14
  5. Step 5: Solve for x
    x = 785,986.14/411.80
  6. Step 6: Final answer
    x = 1,908.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.