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Finding the Third Proportional to 722.81 and 1,428.19

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Solution

The third proportional to 722.81 and 1,428.19 is: 2,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.81 : 1,428.19 = 1,428.19 : x
  2. Step 2: Convert to fraction form
    722.81/1,428.19 = 1,428.19/x
  3. Step 3: Cross multiply
    722.81x = 1,428.19 × 1,428.19
  4. Step 4: Simplify right side
    722.81x = 2,039,719.54
  5. Step 5: Solve for x
    x = 2,039,719.54/722.81
  6. Step 6: Final answer
    x = 2,821.92

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.