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Finding the Third Proportional to 6,459.75 and 13,687.88

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Solution

The third proportional to 6,459.75 and 13,687.88 is: 29,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.75 : 13,687.88 = 13,687.88 : x
  2. Step 2: Convert to fraction form
    6,459.75/13,687.88 = 13,687.88/x
  3. Step 3: Cross multiply
    6,459.75x = 13,687.88 × 13,687.88
  4. Step 4: Simplify right side
    6,459.75x = 187,357,922.02
  5. Step 5: Solve for x
    x = 187,357,922.02/6,459.75
  6. Step 6: Final answer
    x = 29,003.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.