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Finding the Third Proportional to 199.34 and 305.65

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Solution

The third proportional to 199.34 and 305.65 is: 468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.34 : 305.65 = 305.65 : x
  2. Step 2: Convert to fraction form
    199.34/305.65 = 305.65/x
  3. Step 3: Cross multiply
    199.34x = 305.65 × 305.65
  4. Step 4: Simplify right side
    199.34x = 93,420.97
  5. Step 5: Solve for x
    x = 93,420.97/199.34
  6. Step 6: Final answer
    x = 468.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.