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Finding the Third Proportional to 2,069.30 and 4,377.80

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Solution

The third proportional to 2,069.30 and 4,377.80 is: 9,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.30 : 4,377.80 = 4,377.80 : x
  2. Step 2: Convert to fraction form
    2,069.30/4,377.80 = 4,377.80/x
  3. Step 3: Cross multiply
    2,069.30x = 4,377.80 × 4,377.80
  4. Step 4: Simplify right side
    2,069.30x = 19,165,105.48
  5. Step 5: Solve for x
    x = 19,165,105.48/2,069.30
  6. Step 6: Final answer
    x = 9,261.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.