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Finding the Third Proportional to 7,977 and 11,470.50

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Solution

The third proportional to 7,977 and 11,470.50 is: 16,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977 : 11,470.50 = 11,470.50 : x
  2. Step 2: Convert to fraction form
    7,977/11,470.50 = 11,470.50/x
  3. Step 3: Cross multiply
    7,977x = 11,470.50 × 11,470.50
  4. Step 4: Simplify right side
    7,977x = 131,572,370.25
  5. Step 5: Solve for x
    x = 131,572,370.25/7,977
  6. Step 6: Final answer
    x = 16,493.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.