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Finding the Third Proportional to 5,437.13 and 11,682.98

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Solution

The third proportional to 5,437.13 and 11,682.98 is: 25,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.13 : 11,682.98 = 11,682.98 : x
  2. Step 2: Convert to fraction form
    5,437.13/11,682.98 = 11,682.98/x
  3. Step 3: Cross multiply
    5,437.13x = 11,682.98 × 11,682.98
  4. Step 4: Simplify right side
    5,437.13x = 136,492,123.91
  5. Step 5: Solve for x
    x = 136,492,123.91/5,437.13
  6. Step 6: Final answer
    x = 25,103.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.