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Finding the Third Proportional to 8,213.91 and 13,346.02

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Solution

The third proportional to 8,213.91 and 13,346.02 is: 21,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.91 : 13,346.02 = 13,346.02 : x
  2. Step 2: Convert to fraction form
    8,213.91/13,346.02 = 13,346.02/x
  3. Step 3: Cross multiply
    8,213.91x = 13,346.02 × 13,346.02
  4. Step 4: Simplify right side
    8,213.91x = 178,116,133.06
  5. Step 5: Solve for x
    x = 178,116,133.06/8,213.91
  6. Step 6: Final answer
    x = 21,684.70

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.