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Finding the Third Proportional to 769.13 and 1,858.31

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Solution

The third proportional to 769.13 and 1,858.31 is: 4,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.13 : 1,858.31 = 1,858.31 : x
  2. Step 2: Convert to fraction form
    769.13/1,858.31 = 1,858.31/x
  3. Step 3: Cross multiply
    769.13x = 1,858.31 × 1,858.31
  4. Step 4: Simplify right side
    769.13x = 3,453,325.35
  5. Step 5: Solve for x
    x = 3,453,325.35/769.13
  6. Step 6: Final answer
    x = 4,489.94

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.