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Finding the Third Proportional to 200.38 and 307.19

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Solution

The third proportional to 200.38 and 307.19 is: 470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 307.19 = 307.19 : x
  2. Step 2: Convert to fraction form
    200.38/307.19 = 307.19/x
  3. Step 3: Cross multiply
    200.38x = 307.19 × 307.19
  4. Step 4: Simplify right side
    200.38x = 94,364.16
  5. Step 5: Solve for x
    x = 94,364.16/200.38
  6. Step 6: Final answer
    x = 470.94

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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.