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Finding the Third Proportional to 1,261.90 and 2,586.76

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Solution

The third proportional to 1,261.90 and 2,586.76 is: 5,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.90 : 2,586.76 = 2,586.76 : x
  2. Step 2: Convert to fraction form
    1,261.90/2,586.76 = 2,586.76/x
  3. Step 3: Cross multiply
    1,261.90x = 2,586.76 × 2,586.76
  4. Step 4: Simplify right side
    1,261.90x = 6,691,336.19
  5. Step 5: Solve for x
    x = 6,691,336.19/1,261.90
  6. Step 6: Final answer
    x = 5,302.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.