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Finding the Third Proportional to 403.94 and 624.88

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Solution

The third proportional to 403.94 and 624.88 is: 966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.94 : 624.88 = 624.88 : x
  2. Step 2: Convert to fraction form
    403.94/624.88 = 624.88/x
  3. Step 3: Cross multiply
    403.94x = 624.88 × 624.88
  4. Step 4: Simplify right side
    403.94x = 390,468.77
  5. Step 5: Solve for x
    x = 390,468.77/403.94
  6. Step 6: Final answer
    x = 966.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.