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Finding the Third Proportional to 721.31 and 1,569.19

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Solution

The third proportional to 721.31 and 1,569.19 is: 3,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.31 : 1,569.19 = 1,569.19 : x
  2. Step 2: Convert to fraction form
    721.31/1,569.19 = 1,569.19/x
  3. Step 3: Cross multiply
    721.31x = 1,569.19 × 1,569.19
  4. Step 4: Simplify right side
    721.31x = 2,462,349.41
  5. Step 5: Solve for x
    x = 2,462,349.41/721.31
  6. Step 6: Final answer
    x = 3,413.71

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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.