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Finding the Third Proportional to 402.94 and 645.47

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Solution

The third proportional to 402.94 and 645.47 is: 1,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.94 : 645.47 = 645.47 : x
  2. Step 2: Convert to fraction form
    402.94/645.47 = 645.47/x
  3. Step 3: Cross multiply
    402.94x = 645.47 × 645.47
  4. Step 4: Simplify right side
    402.94x = 416,629.91
  5. Step 5: Solve for x
    x = 416,629.91/402.94
  6. Step 6: Final answer
    x = 1,033.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.