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Finding the Third Proportional to 406.27 and 613.05

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Solution

The third proportional to 406.27 and 613.05 is: 925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.27 : 613.05 = 613.05 : x
  2. Step 2: Convert to fraction form
    406.27/613.05 = 613.05/x
  3. Step 3: Cross multiply
    406.27x = 613.05 × 613.05
  4. Step 4: Simplify right side
    406.27x = 375,836.05
  5. Step 5: Solve for x
    x = 375,836.05/406.27
  6. Step 6: Final answer
    x = 925.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.