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Finding the Third Proportional to 6,543 and 12,748.50

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Solution

The third proportional to 6,543 and 12,748.50 is: 24,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543 : 12,748.50 = 12,748.50 : x
  2. Step 2: Convert to fraction form
    6,543/12,748.50 = 12,748.50/x
  3. Step 3: Cross multiply
    6,543x = 12,748.50 × 12,748.50
  4. Step 4: Simplify right side
    6,543x = 162,524,252.25
  5. Step 5: Solve for x
    x = 162,524,252.25/6,543
  6. Step 6: Final answer
    x = 24,839.41

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.