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Finding the Third Proportional to 347.88 and 734.81

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Solution

The third proportional to 347.88 and 734.81 is: 1,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.88 : 734.81 = 734.81 : x
  2. Step 2: Convert to fraction form
    347.88/734.81 = 734.81/x
  3. Step 3: Cross multiply
    347.88x = 734.81 × 734.81
  4. Step 4: Simplify right side
    347.88x = 539,949.41
  5. Step 5: Solve for x
    x = 539,949.41/347.88
  6. Step 6: Final answer
    x = 1,552.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.