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Finding the Third Proportional to 782.06 and 1,668.75

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Solution

The third proportional to 782.06 and 1,668.75 is: 3,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.06 : 1,668.75 = 1,668.75 : x
  2. Step 2: Convert to fraction form
    782.06/1,668.75 = 1,668.75/x
  3. Step 3: Cross multiply
    782.06x = 1,668.75 × 1,668.75
  4. Step 4: Simplify right side
    782.06x = 2,784,726.56
  5. Step 5: Solve for x
    x = 2,784,726.56/782.06
  6. Step 6: Final answer
    x = 3,560.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.