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Finding the Third Proportional to 418.61 and 641.36

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Solution

The third proportional to 418.61 and 641.36 is: 982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 641.36 = 641.36 : x
  2. Step 2: Convert to fraction form
    418.61/641.36 = 641.36/x
  3. Step 3: Cross multiply
    418.61x = 641.36 × 641.36
  4. Step 4: Simplify right side
    418.61x = 411,336.84
  5. Step 5: Solve for x
    x = 411,336.84/418.61
  6. Step 6: Final answer
    x = 982.64

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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.