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Finding the Third Proportional to 76.83 and 124.78

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Solution

The third proportional to 76.83 and 124.78 is: 202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.83 : 124.78 = 124.78 : x
  2. Step 2: Convert to fraction form
    76.83/124.78 = 124.78/x
  3. Step 3: Cross multiply
    76.83x = 124.78 × 124.78
  4. Step 4: Simplify right side
    76.83x = 15,570.36
  5. Step 5: Solve for x
    x = 15,570.36/76.83
  6. Step 6: Final answer
    x = 202.66

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.