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Finding the Third Proportional to 149.77 and 310.92

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Solution

The third proportional to 149.77 and 310.92 is: 645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.77 : 310.92 = 310.92 : x
  2. Step 2: Convert to fraction form
    149.77/310.92 = 310.92/x
  3. Step 3: Cross multiply
    149.77x = 310.92 × 310.92
  4. Step 4: Simplify right side
    149.77x = 96,672.41
  5. Step 5: Solve for x
    x = 96,672.41/149.77
  6. Step 6: Final answer
    x = 645.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.