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Finding the Third Proportional to 441.07 and 683.12

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Solution

The third proportional to 441.07 and 683.12 is: 1,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.07 : 683.12 = 683.12 : x
  2. Step 2: Convert to fraction form
    441.07/683.12 = 683.12/x
  3. Step 3: Cross multiply
    441.07x = 683.12 × 683.12
  4. Step 4: Simplify right side
    441.07x = 466,654.43
  5. Step 5: Solve for x
    x = 466,654.43/441.07
  6. Step 6: Final answer
    x = 1,058.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.