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Finding the Third Proportional to 199.20 and 307.65

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Solution

The third proportional to 199.20 and 307.65 is: 475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.20 : 307.65 = 307.65 : x
  2. Step 2: Convert to fraction form
    199.20/307.65 = 307.65/x
  3. Step 3: Cross multiply
    199.20x = 307.65 × 307.65
  4. Step 4: Simplify right side
    199.20x = 94,649.96
  5. Step 5: Solve for x
    x = 94,649.96/199.20
  6. Step 6: Final answer
    x = 475.16

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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.