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Finding the Third Proportional to 206,100 and 439,200

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Solution

The third proportional to 206,100 and 439,200 is: 935,937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,100 : 439,200 = 439,200 : x
  2. Step 2: Convert to fraction form
    206,100/439,200 = 439,200/x
  3. Step 3: Cross multiply
    206,100x = 439,200 × 439,200
  4. Step 4: Simplify right side
    206,100x = 192,896,640,000
  5. Step 5: Solve for x
    x = 192,896,640,000/206,100
  6. Step 6: Final answer
    x = 935,937.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.