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Finding the Third Proportional to 421.80 and 926.61

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Solution

The third proportional to 421.80 and 926.61 is: 2,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.80 : 926.61 = 926.61 : x
  2. Step 2: Convert to fraction form
    421.80/926.61 = 926.61/x
  3. Step 3: Cross multiply
    421.80x = 926.61 × 926.61
  4. Step 4: Simplify right side
    421.80x = 858,604.93
  5. Step 5: Solve for x
    x = 858,604.93/421.80
  6. Step 6: Final answer
    x = 2,035.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.