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Finding the Third Proportional to 728.68 and 1,573.17

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Solution

The third proportional to 728.68 and 1,573.17 is: 3,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.68 : 1,573.17 = 1,573.17 : x
  2. Step 2: Convert to fraction form
    728.68/1,573.17 = 1,573.17/x
  3. Step 3: Cross multiply
    728.68x = 1,573.17 × 1,573.17
  4. Step 4: Simplify right side
    728.68x = 2,474,869.75
  5. Step 5: Solve for x
    x = 2,474,869.75/728.68
  6. Step 6: Final answer
    x = 3,396.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.