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Finding the Third Proportional to 764.04 and 1,668.61

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Solution

The third proportional to 764.04 and 1,668.61 is: 3,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.04 : 1,668.61 = 1,668.61 : x
  2. Step 2: Convert to fraction form
    764.04/1,668.61 = 1,668.61/x
  3. Step 3: Cross multiply
    764.04x = 1,668.61 × 1,668.61
  4. Step 4: Simplify right side
    764.04x = 2,784,257.25
  5. Step 5: Solve for x
    x = 2,784,257.25/764.04
  6. Step 6: Final answer
    x = 3,644.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.