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Finding the Third Proportional to 905.38 and 1,983.88

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Solution

The third proportional to 905.38 and 1,983.88 is: 4,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.38 : 1,983.88 = 1,983.88 : x
  2. Step 2: Convert to fraction form
    905.38/1,983.88 = 1,983.88/x
  3. Step 3: Cross multiply
    905.38x = 1,983.88 × 1,983.88
  4. Step 4: Simplify right side
    905.38x = 3,935,760.02
  5. Step 5: Solve for x
    x = 3,935,760.02/905.38
  6. Step 6: Final answer
    x = 4,347.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.