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Finding the Third Proportional to 310.97 and 612.94

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Solution

The third proportional to 310.97 and 612.94 is: 1,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.97 : 612.94 = 612.94 : x
  2. Step 2: Convert to fraction form
    310.97/612.94 = 612.94/x
  3. Step 3: Cross multiply
    310.97x = 612.94 × 612.94
  4. Step 4: Simplify right side
    310.97x = 375,692.38
  5. Step 5: Solve for x
    x = 375,692.38/310.97
  6. Step 6: Final answer
    x = 1,208.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.