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Finding the Third Proportional to 133,026 and 206,116

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Solution

The third proportional to 133,026 and 206,116 is: 319,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026 : 206,116 = 206,116 : x
  2. Step 2: Convert to fraction form
    133,026/206,116 = 206,116/x
  3. Step 3: Cross multiply
    133,026x = 206,116 × 206,116
  4. Step 4: Simplify right side
    133,026x = 42,483,805,456
  5. Step 5: Solve for x
    x = 42,483,805,456/133,026
  6. Step 6: Final answer
    x = 319,364.68

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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.