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Finding the Third Proportional to 6,205.50 and 13,526.44

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Solution

The third proportional to 6,205.50 and 13,526.44 is: 29,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.50 : 13,526.44 = 13,526.44 : x
  2. Step 2: Convert to fraction form
    6,205.50/13,526.44 = 13,526.44/x
  3. Step 3: Cross multiply
    6,205.50x = 13,526.44 × 13,526.44
  4. Step 4: Simplify right side
    6,205.50x = 182,964,511.44
  5. Step 5: Solve for x
    x = 182,964,511.44/6,205.50
  6. Step 6: Final answer
    x = 29,484.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.