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Finding the Third Proportional to 203.06 and 431.86

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Solution

The third proportional to 203.06 and 431.86 is: 918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.06 : 431.86 = 431.86 : x
  2. Step 2: Convert to fraction form
    203.06/431.86 = 431.86/x
  3. Step 3: Cross multiply
    203.06x = 431.86 × 431.86
  4. Step 4: Simplify right side
    203.06x = 186,502.52
  5. Step 5: Solve for x
    x = 186,502.52/203.06
  6. Step 6: Final answer
    x = 918.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.