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Finding the Third Proportional to 7,816.50 and 11,428.59

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Solution

The third proportional to 7,816.50 and 11,428.59 is: 16,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.50 : 11,428.59 = 11,428.59 : x
  2. Step 2: Convert to fraction form
    7,816.50/11,428.59 = 11,428.59/x
  3. Step 3: Cross multiply
    7,816.50x = 11,428.59 × 11,428.59
  4. Step 4: Simplify right side
    7,816.50x = 130,612,755.10
  5. Step 5: Solve for x
    x = 130,612,755.10/7,816.50
  6. Step 6: Final answer
    x = 16,709.88

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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.