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Finding the Third Proportional to 199.97 and 307.17

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Solution

The third proportional to 199.97 and 307.17 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 307.17 = 307.17 : x
  2. Step 2: Convert to fraction form
    199.97/307.17 = 307.17/x
  3. Step 3: Cross multiply
    199.97x = 307.17 × 307.17
  4. Step 4: Simplify right side
    199.97x = 94,354.56
  5. Step 5: Solve for x
    x = 94,354.56/199.97
  6. Step 6: Final answer
    x = 471.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.