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Finding the Third Proportional to 722.25 and 1,208.81

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Solution

The third proportional to 722.25 and 1,208.81 is: 2,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.25 : 1,208.81 = 1,208.81 : x
  2. Step 2: Convert to fraction form
    722.25/1,208.81 = 1,208.81/x
  3. Step 3: Cross multiply
    722.25x = 1,208.81 × 1,208.81
  4. Step 4: Simplify right side
    722.25x = 1,461,227.66
  5. Step 5: Solve for x
    x = 1,461,227.66/722.25
  6. Step 6: Final answer
    x = 2,023.16

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.