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Finding the Third Proportional to 354.91 and 727.53

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Solution

The third proportional to 354.91 and 727.53 is: 1,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.91 : 727.53 = 727.53 : x
  2. Step 2: Convert to fraction form
    354.91/727.53 = 727.53/x
  3. Step 3: Cross multiply
    354.91x = 727.53 × 727.53
  4. Step 4: Simplify right side
    354.91x = 529,295.15
  5. Step 5: Solve for x
    x = 529,295.15/354.91
  6. Step 6: Final answer
    x = 1,491.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.