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Finding the Third Proportional to 2,052.75 and 3,158.63

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Solution

The third proportional to 2,052.75 and 3,158.63 is: 4,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.75 : 3,158.63 = 3,158.63 : x
  2. Step 2: Convert to fraction form
    2,052.75/3,158.63 = 3,158.63/x
  3. Step 3: Cross multiply
    2,052.75x = 3,158.63 × 3,158.63
  4. Step 4: Simplify right side
    2,052.75x = 9,976,911.89
  5. Step 5: Solve for x
    x = 9,976,911.89/2,052.75
  6. Step 6: Final answer
    x = 4,860.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.