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Finding the Third Proportional to 728.05 and 1,558.62

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Solution

The third proportional to 728.05 and 1,558.62 is: 3,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.05 : 1,558.62 = 1,558.62 : x
  2. Step 2: Convert to fraction form
    728.05/1,558.62 = 1,558.62/x
  3. Step 3: Cross multiply
    728.05x = 1,558.62 × 1,558.62
  4. Step 4: Simplify right side
    728.05x = 2,429,287.54
  5. Step 5: Solve for x
    x = 2,429,287.54/728.05
  6. Step 6: Final answer
    x = 3,336.70

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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.