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Finding the Third Proportional to 2,156.06 and 3,234.80

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Solution

The third proportional to 2,156.06 and 3,234.80 is: 4,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.06 : 3,234.80 = 3,234.80 : x
  2. Step 2: Convert to fraction form
    2,156.06/3,234.80 = 3,234.80/x
  3. Step 3: Cross multiply
    2,156.06x = 3,234.80 × 3,234.80
  4. Step 4: Simplify right side
    2,156.06x = 10,463,910.82
  5. Step 5: Solve for x
    x = 10,463,910.82/2,156.06
  6. Step 6: Final answer
    x = 4,853.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.