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Finding the Third Proportional to 769.31 and 1,682.63

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Solution

The third proportional to 769.31 and 1,682.63 is: 3,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.31 : 1,682.63 = 1,682.63 : x
  2. Step 2: Convert to fraction form
    769.31/1,682.63 = 1,682.63/x
  3. Step 3: Cross multiply
    769.31x = 1,682.63 × 1,682.63
  4. Step 4: Simplify right side
    769.31x = 2,831,226.89
  5. Step 5: Solve for x
    x = 2,831,226.89/769.31
  6. Step 6: Final answer
    x = 3,680.20

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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.