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Finding the Third Proportional to 136,992 and 206,472

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Solution

The third proportional to 136,992 and 206,472 is: 311,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,992 : 206,472 = 206,472 : x
  2. Step 2: Convert to fraction form
    136,992/206,472 = 206,472/x
  3. Step 3: Cross multiply
    136,992x = 206,472 × 206,472
  4. Step 4: Simplify right side
    136,992x = 42,630,686,784
  5. Step 5: Solve for x
    x = 42,630,686,784/136,992
  6. Step 6: Final answer
    x = 311,191.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.