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Finding the Third Proportional to 55.32 and 121.14

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Solution

The third proportional to 55.32 and 121.14 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.32 : 121.14 = 121.14 : x
  2. Step 2: Convert to fraction form
    55.32/121.14 = 121.14/x
  3. Step 3: Cross multiply
    55.32x = 121.14 × 121.14
  4. Step 4: Simplify right side
    55.32x = 14,675.88
  5. Step 5: Solve for x
    x = 14,675.88/55.32
  6. Step 6: Final answer
    x = 265.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.