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Finding the Third Proportional to 415.41 and 639.28

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Solution

The third proportional to 415.41 and 639.28 is: 983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.41 : 639.28 = 639.28 : x
  2. Step 2: Convert to fraction form
    415.41/639.28 = 639.28/x
  3. Step 3: Cross multiply
    415.41x = 639.28 × 639.28
  4. Step 4: Simplify right side
    415.41x = 408,680.52
  5. Step 5: Solve for x
    x = 408,680.52/415.41
  6. Step 6: Final answer
    x = 983.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.