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Finding the Third Proportional to 55.78 and 85.84

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Solution

The third proportional to 55.78 and 85.84 is: 132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.78 : 85.84 = 85.84 : x
  2. Step 2: Convert to fraction form
    55.78/85.84 = 85.84/x
  3. Step 3: Cross multiply
    55.78x = 85.84 × 85.84
  4. Step 4: Simplify right side
    55.78x = 7,369.15
  5. Step 5: Solve for x
    x = 7,369.15/55.78
  6. Step 6: Final answer
    x = 132.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.