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Finding the Third Proportional to 2,116.88 and 3,271.31

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Solution

The third proportional to 2,116.88 and 3,271.31 is: 5,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.88 : 3,271.31 = 3,271.31 : x
  2. Step 2: Convert to fraction form
    2,116.88/3,271.31 = 3,271.31/x
  3. Step 3: Cross multiply
    2,116.88x = 3,271.31 × 3,271.31
  4. Step 4: Simplify right side
    2,116.88x = 10,701,485.47
  5. Step 5: Solve for x
    x = 10,701,485.47/2,116.88
  6. Step 6: Final answer
    x = 5,055.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.