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Finding the Third Proportional to 134,186 and 206,805

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Solution

The third proportional to 134,186 and 206,805 is: 318,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,186 : 206,805 = 206,805 : x
  2. Step 2: Convert to fraction form
    134,186/206,805 = 206,805/x
  3. Step 3: Cross multiply
    134,186x = 206,805 × 206,805
  4. Step 4: Simplify right side
    134,186x = 42,768,308,025
  5. Step 5: Solve for x
    x = 42,768,308,025/134,186
  6. Step 6: Final answer
    x = 318,724.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.