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Finding the Third Proportional to 2,122.13 and 4,393.88

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Solution

The third proportional to 2,122.13 and 4,393.88 is: 9,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.13 : 4,393.88 = 4,393.88 : x
  2. Step 2: Convert to fraction form
    2,122.13/4,393.88 = 4,393.88/x
  3. Step 3: Cross multiply
    2,122.13x = 4,393.88 × 4,393.88
  4. Step 4: Simplify right side
    2,122.13x = 19,306,137.52
  5. Step 5: Solve for x
    x = 19,306,137.52/2,122.13
  6. Step 6: Final answer
    x = 9,097.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.