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Finding the Third Proportional to 7,864.50 and 11,472.75

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Solution

The third proportional to 7,864.50 and 11,472.75 is: 16,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.50 : 11,472.75 = 11,472.75 : x
  2. Step 2: Convert to fraction form
    7,864.50/11,472.75 = 11,472.75/x
  3. Step 3: Cross multiply
    7,864.50x = 11,472.75 × 11,472.75
  4. Step 4: Simplify right side
    7,864.50x = 131,623,992.56
  5. Step 5: Solve for x
    x = 131,623,992.56/7,864.50
  6. Step 6: Final answer
    x = 16,736.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.