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Finding the Third Proportional to 728,769 and 1,504,217

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Solution

The third proportional to 728,769 and 1,504,217 is: 3,104,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,769 : 1,504,217 = 1,504,217 : x
  2. Step 2: Convert to fraction form
    728,769/1,504,217 = 1,504,217/x
  3. Step 3: Cross multiply
    728,769x = 1,504,217 × 1,504,217
  4. Step 4: Simplify right side
    728,769x = 2,262,668,783,089
  5. Step 5: Solve for x
    x = 2,262,668,783,089/728,769
  6. Step 6: Final answer
    x = 3,104,781.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.