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Finding the Third Proportional to 332.72 and 722.39

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Solution

The third proportional to 332.72 and 722.39 is: 1,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.72 : 722.39 = 722.39 : x
  2. Step 2: Convert to fraction form
    332.72/722.39 = 722.39/x
  3. Step 3: Cross multiply
    332.72x = 722.39 × 722.39
  4. Step 4: Simplify right side
    332.72x = 521,848.22
  5. Step 5: Solve for x
    x = 521,848.22/332.72
  6. Step 6: Final answer
    x = 1,568.44

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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.