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Finding the Third Proportional to 445.13 and 880.13

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Solution

The third proportional to 445.13 and 880.13 is: 1,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.13 : 880.13 = 880.13 : x
  2. Step 2: Convert to fraction form
    445.13/880.13 = 880.13/x
  3. Step 3: Cross multiply
    445.13x = 880.13 × 880.13
  4. Step 4: Simplify right side
    445.13x = 774,620.02
  5. Step 5: Solve for x
    x = 774,620.02/445.13
  6. Step 6: Final answer
    x = 1,740.23

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.