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Finding the Third Proportional to 455.16 and 969.84

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Solution

The third proportional to 455.16 and 969.84 is: 2,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.16 : 969.84 = 969.84 : x
  2. Step 2: Convert to fraction form
    455.16/969.84 = 969.84/x
  3. Step 3: Cross multiply
    455.16x = 969.84 × 969.84
  4. Step 4: Simplify right side
    455.16x = 940,596.90
  5. Step 5: Solve for x
    x = 940,596.90/455.16
  6. Step 6: Final answer
    x = 2,066.54

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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.