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Finding the Third Proportional to 402.75 and 623.81

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Solution

The third proportional to 402.75 and 623.81 is: 966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 623.81 = 623.81 : x
  2. Step 2: Convert to fraction form
    402.75/623.81 = 623.81/x
  3. Step 3: Cross multiply
    402.75x = 623.81 × 623.81
  4. Step 4: Simplify right side
    402.75x = 389,142.04
  5. Step 5: Solve for x
    x = 389,142.04/402.75
  6. Step 6: Final answer
    x = 966.21

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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.