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Finding the Third Proportional to 109,364.75 and 156,391.50

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Solution

The third proportional to 109,364.75 and 156,391.50 is: 223,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,364.75 : 156,391.50 = 156,391.50 : x
  2. Step 2: Convert to fraction form
    109,364.75/156,391.50 = 156,391.50/x
  3. Step 3: Cross multiply
    109,364.75x = 156,391.50 × 156,391.50
  4. Step 4: Simplify right side
    109,364.75x = 24,458,301,272.25
  5. Step 5: Solve for x
    x = 24,458,301,272.25/109,364.75
  6. Step 6: Final answer
    x = 223,639.71

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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.