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Finding the Third Proportional to 109,405.50 and 156,440.25

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Solution

The third proportional to 109,405.50 and 156,440.25 is: 223,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,405.50 : 156,440.25 = 156,440.25 : x
  2. Step 2: Convert to fraction form
    109,405.50/156,440.25 = 156,440.25/x
  3. Step 3: Cross multiply
    109,405.50x = 156,440.25 × 156,440.25
  4. Step 4: Simplify right side
    109,405.50x = 24,473,551,820.06
  5. Step 5: Solve for x
    x = 24,473,551,820.06/109,405.50
  6. Step 6: Final answer
    x = 223,695.81

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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.