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Finding the Third Proportional to 1,329.22 and 2,888.79

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Solution

The third proportional to 1,329.22 and 2,888.79 is: 6,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.22 : 2,888.79 = 2,888.79 : x
  2. Step 2: Convert to fraction form
    1,329.22/2,888.79 = 2,888.79/x
  3. Step 3: Cross multiply
    1,329.22x = 2,888.79 × 2,888.79
  4. Step 4: Simplify right side
    1,329.22x = 8,345,102.25
  5. Step 5: Solve for x
    x = 8,345,102.25/1,329.22
  6. Step 6: Final answer
    x = 6,278.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.