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Finding the Third Proportional to 1,305 and 2,799.84

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Solution

The third proportional to 1,305 and 2,799.84 is: 6,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305 : 2,799.84 = 2,799.84 : x
  2. Step 2: Convert to fraction form
    1,305/2,799.84 = 2,799.84/x
  3. Step 3: Cross multiply
    1,305x = 2,799.84 × 2,799.84
  4. Step 4: Simplify right side
    1,305x = 7,839,125.02
  5. Step 5: Solve for x
    x = 7,839,125.02/1,305
  6. Step 6: Final answer
    x = 6,006.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.