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Finding the Third Proportional to 445.92 and 645.68

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Solution

The third proportional to 445.92 and 645.68 is: 934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.92 : 645.68 = 645.68 : x
  2. Step 2: Convert to fraction form
    445.92/645.68 = 645.68/x
  3. Step 3: Cross multiply
    445.92x = 645.68 × 645.68
  4. Step 4: Simplify right side
    445.92x = 416,902.26
  5. Step 5: Solve for x
    x = 416,902.26/445.92
  6. Step 6: Final answer
    x = 934.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.