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Finding the Third Proportional to 413.20 and 901.78

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Solution

The third proportional to 413.20 and 901.78 is: 1,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.20 : 901.78 = 901.78 : x
  2. Step 2: Convert to fraction form
    413.20/901.78 = 901.78/x
  3. Step 3: Cross multiply
    413.20x = 901.78 × 901.78
  4. Step 4: Simplify right side
    413.20x = 813,209.42
  5. Step 5: Solve for x
    x = 813,209.42/413.20
  6. Step 6: Final answer
    x = 1,968.06

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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.