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Finding the Third Proportional to 354.94 and 734.53

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Solution

The third proportional to 354.94 and 734.53 is: 1,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.94 : 734.53 = 734.53 : x
  2. Step 2: Convert to fraction form
    354.94/734.53 = 734.53/x
  3. Step 3: Cross multiply
    354.94x = 734.53 × 734.53
  4. Step 4: Simplify right side
    354.94x = 539,536.16
  5. Step 5: Solve for x
    x = 539,536.16/354.94
  6. Step 6: Final answer
    x = 1,520.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.