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Finding the Third Proportional to 764.72 and 1,659.09

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Solution

The third proportional to 764.72 and 1,659.09 is: 3,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.72 : 1,659.09 = 1,659.09 : x
  2. Step 2: Convert to fraction form
    764.72/1,659.09 = 1,659.09/x
  3. Step 3: Cross multiply
    764.72x = 1,659.09 × 1,659.09
  4. Step 4: Simplify right side
    764.72x = 2,752,592.07
  5. Step 5: Solve for x
    x = 2,752,592.07/764.72
  6. Step 6: Final answer
    x = 3,599.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.