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Finding the Third Proportional to 13,889.60 and 30,782.11

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Solution

The third proportional to 13,889.60 and 30,782.11 is: 68,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.60 : 30,782.11 = 30,782.11 : x
  2. Step 2: Convert to fraction form
    13,889.60/30,782.11 = 30,782.11/x
  3. Step 3: Cross multiply
    13,889.60x = 30,782.11 × 30,782.11
  4. Step 4: Simplify right side
    13,889.60x = 947,538,257.57
  5. Step 5: Solve for x
    x = 947,538,257.57/13,889.60
  6. Step 6: Final answer
    x = 68,219.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.