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Finding the Third Proportional to 402.19 and 611.81

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Solution

The third proportional to 402.19 and 611.81 is: 930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 611.81 = 611.81 : x
  2. Step 2: Convert to fraction form
    402.19/611.81 = 611.81/x
  3. Step 3: Cross multiply
    402.19x = 611.81 × 611.81
  4. Step 4: Simplify right side
    402.19x = 374,314.54
  5. Step 5: Solve for x
    x = 374,314.54/402.19
  6. Step 6: Final answer
    x = 930.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.