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Finding the Third Proportional to 310.92 and 492.12

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Solution

The third proportional to 310.92 and 492.12 is: 778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.92 : 492.12 = 492.12 : x
  2. Step 2: Convert to fraction form
    310.92/492.12 = 492.12/x
  3. Step 3: Cross multiply
    310.92x = 492.12 × 492.12
  4. Step 4: Simplify right side
    310.92x = 242,179.33
  5. Step 5: Solve for x
    x = 242,179.33/310.92
  6. Step 6: Final answer
    x = 778.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.