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Finding the Third Proportional to 52.16 and 121.84

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Solution

The third proportional to 52.16 and 121.84 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.16 : 121.84 = 121.84 : x
  2. Step 2: Convert to fraction form
    52.16/121.84 = 121.84/x
  3. Step 3: Cross multiply
    52.16x = 121.84 × 121.84
  4. Step 4: Simplify right side
    52.16x = 14,845.90
  5. Step 5: Solve for x
    x = 14,845.90/52.16
  6. Step 6: Final answer
    x = 284.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.