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Finding the Third Proportional to 101,758 and 206,276

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Solution

The third proportional to 101,758 and 206,276 is: 418,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,758 : 206,276 = 206,276 : x
  2. Step 2: Convert to fraction form
    101,758/206,276 = 206,276/x
  3. Step 3: Cross multiply
    101,758x = 206,276 × 206,276
  4. Step 4: Simplify right side
    101,758x = 42,549,788,176
  5. Step 5: Solve for x
    x = 42,549,788,176/101,758
  6. Step 6: Final answer
    x = 418,146.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.