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Finding the Third Proportional to 133,054 and 206,414

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Solution

The third proportional to 133,054 and 206,414 is: 320,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,054 : 206,414 = 206,414 : x
  2. Step 2: Convert to fraction form
    133,054/206,414 = 206,414/x
  3. Step 3: Cross multiply
    133,054x = 206,414 × 206,414
  4. Step 4: Simplify right side
    133,054x = 42,606,739,396
  5. Step 5: Solve for x
    x = 42,606,739,396/133,054
  6. Step 6: Final answer
    x = 320,221.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.