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Finding the Third Proportional to 204,930 and 420,066

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Solution

The third proportional to 204,930 and 420,066 is: 861,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930 : 420,066 = 420,066 : x
  2. Step 2: Convert to fraction form
    204,930/420,066 = 420,066/x
  3. Step 3: Cross multiply
    204,930x = 420,066 × 420,066
  4. Step 4: Simplify right side
    204,930x = 176,455,444,356
  5. Step 5: Solve for x
    x = 176,455,444,356/204,930
  6. Step 6: Final answer
    x = 861,052.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.