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Finding the Third Proportional to 109,408.50 and 156,453.75

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Solution

The third proportional to 109,408.50 and 156,453.75 is: 223,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,408.50 : 156,453.75 = 156,453.75 : x
  2. Step 2: Convert to fraction form
    109,408.50/156,453.75 = 156,453.75/x
  3. Step 3: Cross multiply
    109,408.50x = 156,453.75 × 156,453.75
  4. Step 4: Simplify right side
    109,408.50x = 24,477,775,889.06
  5. Step 5: Solve for x
    x = 24,477,775,889.06/109,408.50
  6. Step 6: Final answer
    x = 223,728.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.