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Finding the Third Proportional to 2,783.50 and 6,472.75

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Solution

The third proportional to 2,783.50 and 6,472.75 is: 15,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.50 : 6,472.75 = 6,472.75 : x
  2. Step 2: Convert to fraction form
    2,783.50/6,472.75 = 6,472.75/x
  3. Step 3: Cross multiply
    2,783.50x = 6,472.75 × 6,472.75
  4. Step 4: Simplify right side
    2,783.50x = 41,896,492.56
  5. Step 5: Solve for x
    x = 41,896,492.56/2,783.50
  6. Step 6: Final answer
    x = 15,051.73

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.