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Finding the Third Proportional to 1,983.19 and 4,223.63

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Solution

The third proportional to 1,983.19 and 4,223.63 is: 8,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.19 : 4,223.63 = 4,223.63 : x
  2. Step 2: Convert to fraction form
    1,983.19/4,223.63 = 4,223.63/x
  3. Step 3: Cross multiply
    1,983.19x = 4,223.63 × 4,223.63
  4. Step 4: Simplify right side
    1,983.19x = 17,839,008.14
  5. Step 5: Solve for x
    x = 17,839,008.14/1,983.19
  6. Step 6: Final answer
    x = 8,995.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.