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Finding the Third Proportional to 1,555.31 and 3,418.31

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Solution

The third proportional to 1,555.31 and 3,418.31 is: 7,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.31 : 3,418.31 = 3,418.31 : x
  2. Step 2: Convert to fraction form
    1,555.31/3,418.31 = 3,418.31/x
  3. Step 3: Cross multiply
    1,555.31x = 3,418.31 × 3,418.31
  4. Step 4: Simplify right side
    1,555.31x = 11,684,860.35
  5. Step 5: Solve for x
    x = 11,684,860.35/1,555.31
  6. Step 6: Final answer
    x = 7,512.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.