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Finding the Third Proportional to 299,710.13 and 389,286

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Solution

The third proportional to 299,710.13 and 389,286 is: 505,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,710.13 : 389,286 = 389,286 : x
  2. Step 2: Convert to fraction form
    299,710.13/389,286 = 389,286/x
  3. Step 3: Cross multiply
    299,710.13x = 389,286 × 389,286
  4. Step 4: Simplify right side
    299,710.13x = 151,543,589,796
  5. Step 5: Solve for x
    x = 151,543,589,796/299,710.13
  6. Step 6: Final answer
    x = 505,633.87

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.