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Finding the Third Proportional to 711.84 and 1,413.56

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Solution

The third proportional to 711.84 and 1,413.56 is: 2,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.84 : 1,413.56 = 1,413.56 : x
  2. Step 2: Convert to fraction form
    711.84/1,413.56 = 1,413.56/x
  3. Step 3: Cross multiply
    711.84x = 1,413.56 × 1,413.56
  4. Step 4: Simplify right side
    711.84x = 1,998,158.94
  5. Step 5: Solve for x
    x = 1,998,158.94/711.84
  6. Step 6: Final answer
    x = 2,807.02

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.