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Finding the Third Proportional to 1,277.72 and 2,828.53

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Solution

The third proportional to 1,277.72 and 2,828.53 is: 6,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.72 : 2,828.53 = 2,828.53 : x
  2. Step 2: Convert to fraction form
    1,277.72/2,828.53 = 2,828.53/x
  3. Step 3: Cross multiply
    1,277.72x = 2,828.53 × 2,828.53
  4. Step 4: Simplify right side
    1,277.72x = 8,000,589.03
  5. Step 5: Solve for x
    x = 8,000,589.03/1,277.72
  6. Step 6: Final answer
    x = 6,261.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.