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Finding the Third Proportional to 984.09 and 2,139.05

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Solution

The third proportional to 984.09 and 2,139.05 is: 4,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.09 : 2,139.05 = 2,139.05 : x
  2. Step 2: Convert to fraction form
    984.09/2,139.05 = 2,139.05/x
  3. Step 3: Cross multiply
    984.09x = 2,139.05 × 2,139.05
  4. Step 4: Simplify right side
    984.09x = 4,575,521.53
  5. Step 5: Solve for x
    x = 4,575,521.53/984.09
  6. Step 6: Final answer
    x = 4,649.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.