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Finding the Third Proportional to 2,381.91 and 2,555.30

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Solution

The third proportional to 2,381.91 and 2,555.30 is: 2,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.91 : 2,555.30 = 2,555.30 : x
  2. Step 2: Convert to fraction form
    2,381.91/2,555.30 = 2,555.30/x
  3. Step 3: Cross multiply
    2,381.91x = 2,555.30 × 2,555.30
  4. Step 4: Simplify right side
    2,381.91x = 6,529,542.12
  5. Step 5: Solve for x
    x = 6,529,542.12/2,381.91
  6. Step 6: Final answer
    x = 2,741.31

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.