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Finding the Third Proportional to 2,511 and 4,472.72

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Solution

The third proportional to 2,511 and 4,472.72 is: 7,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 4,472.72 = 4,472.72 : x
  2. Step 2: Convert to fraction form
    2,511/4,472.72 = 4,472.72/x
  3. Step 3: Cross multiply
    2,511x = 4,472.72 × 4,472.72
  4. Step 4: Simplify right side
    2,511x = 20,005,213.02
  5. Step 5: Solve for x
    x = 20,005,213.02/2,511
  6. Step 6: Final answer
    x = 7,967.03

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.