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Finding the Third Proportional to 206,640 and 438,084

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Solution

The third proportional to 206,640 and 438,084 is: 928,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,640 : 438,084 = 438,084 : x
  2. Step 2: Convert to fraction form
    206,640/438,084 = 438,084/x
  3. Step 3: Cross multiply
    206,640x = 438,084 × 438,084
  4. Step 4: Simplify right side
    206,640x = 191,917,591,056
  5. Step 5: Solve for x
    x = 191,917,591,056/206,640
  6. Step 6: Final answer
    x = 928,753.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.