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Finding the Third Proportional to 728.44 and 1,586.53

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Solution

The third proportional to 728.44 and 1,586.53 is: 3,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.44 : 1,586.53 = 1,586.53 : x
  2. Step 2: Convert to fraction form
    728.44/1,586.53 = 1,586.53/x
  3. Step 3: Cross multiply
    728.44x = 1,586.53 × 1,586.53
  4. Step 4: Simplify right side
    728.44x = 2,517,081.41
  5. Step 5: Solve for x
    x = 2,517,081.41/728.44
  6. Step 6: Final answer
    x = 3,455.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.