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Finding the Third Proportional to 1,230.75 and 2,983.88

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Solution

The third proportional to 1,230.75 and 2,983.88 is: 7,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.75 : 2,983.88 = 2,983.88 : x
  2. Step 2: Convert to fraction form
    1,230.75/2,983.88 = 2,983.88/x
  3. Step 3: Cross multiply
    1,230.75x = 2,983.88 × 2,983.88
  4. Step 4: Simplify right side
    1,230.75x = 8,903,510.02
  5. Step 5: Solve for x
    x = 8,903,510.02/1,230.75
  6. Step 6: Final answer
    x = 7,234.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.