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Finding the Third Proportional to 199.31 and 307.88

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Solution

The third proportional to 199.31 and 307.88 is: 475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.31 : 307.88 = 307.88 : x
  2. Step 2: Convert to fraction form
    199.31/307.88 = 307.88/x
  3. Step 3: Cross multiply
    199.31x = 307.88 × 307.88
  4. Step 4: Simplify right side
    199.31x = 94,787.02
  5. Step 5: Solve for x
    x = 94,787.02/199.31
  6. Step 6: Final answer
    x = 475.57

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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.