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Finding the Third Proportional to 521.50 and 1,226.75

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Solution

The third proportional to 521.50 and 1,226.75 is: 2,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.50 : 1,226.75 = 1,226.75 : x
  2. Step 2: Convert to fraction form
    521.50/1,226.75 = 1,226.75/x
  3. Step 3: Cross multiply
    521.50x = 1,226.75 × 1,226.75
  4. Step 4: Simplify right side
    521.50x = 1,504,915.56
  5. Step 5: Solve for x
    x = 1,504,915.56/521.50
  6. Step 6: Final answer
    x = 2,885.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.