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Finding the Third Proportional to 333.11 and 722.81

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Solution

The third proportional to 333.11 and 722.81 is: 1,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.11 : 722.81 = 722.81 : x
  2. Step 2: Convert to fraction form
    333.11/722.81 = 722.81/x
  3. Step 3: Cross multiply
    333.11x = 722.81 × 722.81
  4. Step 4: Simplify right side
    333.11x = 522,457.91
  5. Step 5: Solve for x
    x = 522,457.91/333.11
  6. Step 6: Final answer
    x = 1,568.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.