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Finding the Third Proportional to 100,433 and 133,288

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Solution

The third proportional to 100,433 and 133,288 is: 176,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,433 : 133,288 = 133,288 : x
  2. Step 2: Convert to fraction form
    100,433/133,288 = 133,288/x
  3. Step 3: Cross multiply
    100,433x = 133,288 × 133,288
  4. Step 4: Simplify right side
    100,433x = 17,765,690,944
  5. Step 5: Solve for x
    x = 17,765,690,944/100,433
  6. Step 6: Final answer
    x = 176,890.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.