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Finding the Third Proportional to 13,670.50 and 21,416.75

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Solution

The third proportional to 13,670.50 and 21,416.75 is: 33,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.50 : 21,416.75 = 21,416.75 : x
  2. Step 2: Convert to fraction form
    13,670.50/21,416.75 = 21,416.75/x
  3. Step 3: Cross multiply
    13,670.50x = 21,416.75 × 21,416.75
  4. Step 4: Simplify right side
    13,670.50x = 458,677,180.56
  5. Step 5: Solve for x
    x = 458,677,180.56/13,670.50
  6. Step 6: Final answer
    x = 33,552.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.