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Finding the Third Proportional to 811.11 and 1,428.57

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Solution

The third proportional to 811.11 and 1,428.57 is: 2,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.11 : 1,428.57 = 1,428.57 : x
  2. Step 2: Convert to fraction form
    811.11/1,428.57 = 1,428.57/x
  3. Step 3: Cross multiply
    811.11x = 1,428.57 × 1,428.57
  4. Step 4: Simplify right side
    811.11x = 2,040,824.30
  5. Step 5: Solve for x
    x = 2,040,824.30/811.11
  6. Step 6: Final answer
    x = 2,516.10

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.