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Finding the Third Proportional to 347.84 and 717.82

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Solution

The third proportional to 347.84 and 717.82 is: 1,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 717.82 = 717.82 : x
  2. Step 2: Convert to fraction form
    347.84/717.82 = 717.82/x
  3. Step 3: Cross multiply
    347.84x = 717.82 × 717.82
  4. Step 4: Simplify right side
    347.84x = 515,266.00
  5. Step 5: Solve for x
    x = 515,266.00/347.84
  6. Step 6: Final answer
    x = 1,481.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.