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Finding the Third Proportional to 771.70 and 1,668.05

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Solution

The third proportional to 771.70 and 1,668.05 is: 3,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.70 : 1,668.05 = 1,668.05 : x
  2. Step 2: Convert to fraction form
    771.70/1,668.05 = 1,668.05/x
  3. Step 3: Cross multiply
    771.70x = 1,668.05 × 1,668.05
  4. Step 4: Simplify right side
    771.70x = 2,782,380.38
  5. Step 5: Solve for x
    x = 2,782,380.38/771.70
  6. Step 6: Final answer
    x = 3,605.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.