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Finding the Third Proportional to 347.25 and 743.81

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Solution

The third proportional to 347.25 and 743.81 is: 1,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.25 : 743.81 = 743.81 : x
  2. Step 2: Convert to fraction form
    347.25/743.81 = 743.81/x
  3. Step 3: Cross multiply
    347.25x = 743.81 × 743.81
  4. Step 4: Simplify right side
    347.25x = 553,257.04
  5. Step 5: Solve for x
    x = 553,257.04/347.25
  6. Step 6: Final answer
    x = 1,593.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.