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Finding the Third Proportional to 206,904 and 321,654

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Solution

The third proportional to 206,904 and 321,654 is: 500,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,904 : 321,654 = 321,654 : x
  2. Step 2: Convert to fraction form
    206,904/321,654 = 321,654/x
  3. Step 3: Cross multiply
    206,904x = 321,654 × 321,654
  4. Step 4: Simplify right side
    206,904x = 103,461,295,716
  5. Step 5: Solve for x
    x = 103,461,295,716/206,904
  6. Step 6: Final answer
    x = 500,044.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.