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Finding the Third Proportional to 344.06 and 721.78

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Solution

The third proportional to 344.06 and 721.78 is: 1,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.06 : 721.78 = 721.78 : x
  2. Step 2: Convert to fraction form
    344.06/721.78 = 721.78/x
  3. Step 3: Cross multiply
    344.06x = 721.78 × 721.78
  4. Step 4: Simplify right side
    344.06x = 520,968.17
  5. Step 5: Solve for x
    x = 520,968.17/344.06
  6. Step 6: Final answer
    x = 1,514.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.