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Finding the Third Proportional to 2,033.88 and 3,050.63

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Solution

The third proportional to 2,033.88 and 3,050.63 is: 4,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.88 : 3,050.63 = 3,050.63 : x
  2. Step 2: Convert to fraction form
    2,033.88/3,050.63 = 3,050.63/x
  3. Step 3: Cross multiply
    2,033.88x = 3,050.63 × 3,050.63
  4. Step 4: Simplify right side
    2,033.88x = 9,306,312.89
  5. Step 5: Solve for x
    x = 9,306,312.89/2,033.88
  6. Step 6: Final answer
    x = 4,575.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.