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Finding the Third Proportional to 1,939.89 and 2,909.99

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Solution

The third proportional to 1,939.89 and 2,909.99 is: 4,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.89 : 2,909.99 = 2,909.99 : x
  2. Step 2: Convert to fraction form
    1,939.89/2,909.99 = 2,909.99/x
  3. Step 3: Cross multiply
    1,939.89x = 2,909.99 × 2,909.99
  4. Step 4: Simplify right side
    1,939.89x = 8,468,031.80
  5. Step 5: Solve for x
    x = 8,468,031.80/1,939.89
  6. Step 6: Final answer
    x = 4,365.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.