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Finding the Third Proportional to 632.18 and 1,351.37

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Solution

The third proportional to 632.18 and 1,351.37 is: 2,888.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.18 : 1,351.37 = 1,351.37 : x
  2. Step 2: Convert to fraction form
    632.18/1,351.37 = 1,351.37/x
  3. Step 3: Cross multiply
    632.18x = 1,351.37 × 1,351.37
  4. Step 4: Simplify right side
    632.18x = 1,826,203.83
  5. Step 5: Solve for x
    x = 1,826,203.83/632.18
  6. Step 6: Final answer
    x = 2,888.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.