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Finding the Third Proportional to 421.13 and 1,019.81

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Solution

The third proportional to 421.13 and 1,019.81 is: 2,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.13 : 1,019.81 = 1,019.81 : x
  2. Step 2: Convert to fraction form
    421.13/1,019.81 = 1,019.81/x
  3. Step 3: Cross multiply
    421.13x = 1,019.81 × 1,019.81
  4. Step 4: Simplify right side
    421.13x = 1,040,017.54
  5. Step 5: Solve for x
    x = 1,040,017.54/421.13
  6. Step 6: Final answer
    x = 2,469.62

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.