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Finding the Third Proportional to 13,670.25 and 21,416.25

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Solution

The third proportional to 13,670.25 and 21,416.25 is: 33,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.25 : 21,416.25 = 21,416.25 : x
  2. Step 2: Convert to fraction form
    13,670.25/21,416.25 = 21,416.25/x
  3. Step 3: Cross multiply
    13,670.25x = 21,416.25 × 21,416.25
  4. Step 4: Simplify right side
    13,670.25x = 458,655,764.06
  5. Step 5: Solve for x
    x = 458,655,764.06/13,670.25
  6. Step 6: Final answer
    x = 33,551.38

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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.