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Finding the Third Proportional to 946.43 and 1,452.70

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Solution

The third proportional to 946.43 and 1,452.70 is: 2,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.43 : 1,452.70 = 1,452.70 : x
  2. Step 2: Convert to fraction form
    946.43/1,452.70 = 1,452.70/x
  3. Step 3: Cross multiply
    946.43x = 1,452.70 × 1,452.70
  4. Step 4: Simplify right side
    946.43x = 2,110,346.37
  5. Step 5: Solve for x
    x = 2,110,346.37/946.43
  6. Step 6: Final answer
    x = 2,229.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.