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Finding the Third Proportional to 5,541 and 13,069.50

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Solution

The third proportional to 5,541 and 13,069.50 is: 30,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541 : 13,069.50 = 13,069.50 : x
  2. Step 2: Convert to fraction form
    5,541/13,069.50 = 13,069.50/x
  3. Step 3: Cross multiply
    5,541x = 13,069.50 × 13,069.50
  4. Step 4: Simplify right side
    5,541x = 170,811,830.25
  5. Step 5: Solve for x
    x = 170,811,830.25/5,541
  6. Step 6: Final answer
    x = 30,826.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.