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Finding the Third Proportional to 403.75 and 611.38

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Solution

The third proportional to 403.75 and 611.38 is: 925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.75 : 611.38 = 611.38 : x
  2. Step 2: Convert to fraction form
    403.75/611.38 = 611.38/x
  3. Step 3: Cross multiply
    403.75x = 611.38 × 611.38
  4. Step 4: Simplify right side
    403.75x = 373,779.39
  5. Step 5: Solve for x
    x = 373,779.39/403.75
  6. Step 6: Final answer
    x = 925.77

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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.