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Finding the Third Proportional to 206,972 and 428,768

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Solution

The third proportional to 206,972 and 428,768 is: 888,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,972 : 428,768 = 428,768 : x
  2. Step 2: Convert to fraction form
    206,972/428,768 = 428,768/x
  3. Step 3: Cross multiply
    206,972x = 428,768 × 428,768
  4. Step 4: Simplify right side
    206,972x = 183,841,997,824
  5. Step 5: Solve for x
    x = 183,841,997,824/206,972
  6. Step 6: Final answer
    x = 888,245.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.