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Finding the Third Proportional to 77.84 and 124.35

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Solution

The third proportional to 77.84 and 124.35 is: 198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 124.35 = 124.35 : x
  2. Step 2: Convert to fraction form
    77.84/124.35 = 124.35/x
  3. Step 3: Cross multiply
    77.84x = 124.35 × 124.35
  4. Step 4: Simplify right side
    77.84x = 15,462.34
  5. Step 5: Solve for x
    x = 15,462.34/77.84
  6. Step 6: Final answer
    x = 198.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.