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Finding the Third Proportional to 455.11 and 969.80

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Solution

The third proportional to 455.11 and 969.80 is: 2,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.11 : 969.80 = 969.80 : x
  2. Step 2: Convert to fraction form
    455.11/969.80 = 969.80/x
  3. Step 3: Cross multiply
    455.11x = 969.80 × 969.80
  4. Step 4: Simplify right side
    455.11x = 940,505.98
  5. Step 5: Solve for x
    x = 940,505.98/455.11
  6. Step 6: Final answer
    x = 2,066.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.