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Finding the Third Proportional to 778.31 and 1,646.06

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Solution

The third proportional to 778.31 and 1,646.06 is: 3,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.31 : 1,646.06 = 1,646.06 : x
  2. Step 2: Convert to fraction form
    778.31/1,646.06 = 1,646.06/x
  3. Step 3: Cross multiply
    778.31x = 1,646.06 × 1,646.06
  4. Step 4: Simplify right side
    778.31x = 2,709,521.75
  5. Step 5: Solve for x
    x = 2,709,521.75/778.31
  6. Step 6: Final answer
    x = 3,481.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.