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Finding the Third Proportional to 1,413.28 and 2,866.64

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Solution

The third proportional to 1,413.28 and 2,866.64 is: 5,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.28 : 2,866.64 = 2,866.64 : x
  2. Step 2: Convert to fraction form
    1,413.28/2,866.64 = 2,866.64/x
  3. Step 3: Cross multiply
    1,413.28x = 2,866.64 × 2,866.64
  4. Step 4: Simplify right side
    1,413.28x = 8,217,628.47
  5. Step 5: Solve for x
    x = 8,217,628.47/1,413.28
  6. Step 6: Final answer
    x = 5,814.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.