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Finding the Third Proportional to 200.72 and 431.95

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Solution

The third proportional to 200.72 and 431.95 is: 929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.72 : 431.95 = 431.95 : x
  2. Step 2: Convert to fraction form
    200.72/431.95 = 431.95/x
  3. Step 3: Cross multiply
    200.72x = 431.95 × 431.95
  4. Step 4: Simplify right side
    200.72x = 186,583.50
  5. Step 5: Solve for x
    x = 186,583.50/200.72
  6. Step 6: Final answer
    x = 929.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.