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Finding the Third Proportional to 633.09 and 1,381.78

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Solution

The third proportional to 633.09 and 1,381.78 is: 3,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.09 : 1,381.78 = 1,381.78 : x
  2. Step 2: Convert to fraction form
    633.09/1,381.78 = 1,381.78/x
  3. Step 3: Cross multiply
    633.09x = 1,381.78 × 1,381.78
  4. Step 4: Simplify right side
    633.09x = 1,909,319.42
  5. Step 5: Solve for x
    x = 1,909,319.42/633.09
  6. Step 6: Final answer
    x = 3,015.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.