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Finding the Third Proportional to 769.82 and 1,688.66

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Solution

The third proportional to 769.82 and 1,688.66 is: 3,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.82 : 1,688.66 = 1,688.66 : x
  2. Step 2: Convert to fraction form
    769.82/1,688.66 = 1,688.66/x
  3. Step 3: Cross multiply
    769.82x = 1,688.66 × 1,688.66
  4. Step 4: Simplify right side
    769.82x = 2,851,573.12
  5. Step 5: Solve for x
    x = 2,851,573.12/769.82
  6. Step 6: Final answer
    x = 3,704.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.