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Finding the Third Proportional to 722.33 and 978.84

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Solution

The third proportional to 722.33 and 978.84 is: 1,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.33 : 978.84 = 978.84 : x
  2. Step 2: Convert to fraction form
    722.33/978.84 = 978.84/x
  3. Step 3: Cross multiply
    722.33x = 978.84 × 978.84
  4. Step 4: Simplify right side
    722.33x = 958,122.54
  5. Step 5: Solve for x
    x = 958,122.54/722.33
  6. Step 6: Final answer
    x = 1,326.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.