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Finding the Third Proportional to 1,983.38 and 4,319.63

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Solution

The third proportional to 1,983.38 and 4,319.63 is: 9,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.38 : 4,319.63 = 4,319.63 : x
  2. Step 2: Convert to fraction form
    1,983.38/4,319.63 = 4,319.63/x
  3. Step 3: Cross multiply
    1,983.38x = 4,319.63 × 4,319.63
  4. Step 4: Simplify right side
    1,983.38x = 18,659,160.14
  5. Step 5: Solve for x
    x = 18,659,160.14/1,983.38
  6. Step 6: Final answer
    x = 9,407.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.