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Finding the Third Proportional to 206,973 and 428,770

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Solution

The third proportional to 206,973 and 428,770 is: 888,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,973 : 428,770 = 428,770 : x
  2. Step 2: Convert to fraction form
    206,973/428,770 = 428,770/x
  3. Step 3: Cross multiply
    206,973x = 428,770 × 428,770
  4. Step 4: Simplify right side
    206,973x = 183,843,712,900
  5. Step 5: Solve for x
    x = 183,843,712,900/206,973
  6. Step 6: Final answer
    x = 888,249.74

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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.