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Finding the Third Proportional to 203 and 431.31

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Solution

The third proportional to 203 and 431.31 is: 916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203 : 431.31 = 431.31 : x
  2. Step 2: Convert to fraction form
    203/431.31 = 431.31/x
  3. Step 3: Cross multiply
    203x = 431.31 × 431.31
  4. Step 4: Simplify right side
    203x = 186,030.47
  5. Step 5: Solve for x
    x = 186,030.47/203
  6. Step 6: Final answer
    x = 916.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.