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Finding the Third Proportional to 462.94 and 991.78

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Solution

The third proportional to 462.94 and 991.78 is: 2,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.94 : 991.78 = 991.78 : x
  2. Step 2: Convert to fraction form
    462.94/991.78 = 991.78/x
  3. Step 3: Cross multiply
    462.94x = 991.78 × 991.78
  4. Step 4: Simplify right side
    462.94x = 983,630.05
  5. Step 5: Solve for x
    x = 983,630.05/462.94
  6. Step 6: Final answer
    x = 2,124.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.