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Finding the Third Proportional to 3,049 and 4,761.50

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Solution

The third proportional to 3,049 and 4,761.50 is: 7,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049 : 4,761.50 = 4,761.50 : x
  2. Step 2: Convert to fraction form
    3,049/4,761.50 = 4,761.50/x
  3. Step 3: Cross multiply
    3,049x = 4,761.50 × 4,761.50
  4. Step 4: Simplify right side
    3,049x = 22,671,882.25
  5. Step 5: Solve for x
    x = 22,671,882.25/3,049
  6. Step 6: Final answer
    x = 7,435.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.