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Finding the Third Proportional to 403.31 and 608.91

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Solution

The third proportional to 403.31 and 608.91 is: 919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.31 : 608.91 = 608.91 : x
  2. Step 2: Convert to fraction form
    403.31/608.91 = 608.91/x
  3. Step 3: Cross multiply
    403.31x = 608.91 × 608.91
  4. Step 4: Simplify right side
    403.31x = 370,766.82
  5. Step 5: Solve for x
    x = 370,766.82/403.31
  6. Step 6: Final answer
    x = 919.30

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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.