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Finding the Third Proportional to 111,768.19 and 156,989.81

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Solution

The third proportional to 111,768.19 and 156,989.81 is: 220,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,768.19 : 156,989.81 = 156,989.81 : x
  2. Step 2: Convert to fraction form
    111,768.19/156,989.81 = 156,989.81/x
  3. Step 3: Cross multiply
    111,768.19x = 156,989.81 × 156,989.81
  4. Step 4: Simplify right side
    111,768.19x = 24,645,801,228.79
  5. Step 5: Solve for x
    x = 24,645,801,228.79/111,768.19
  6. Step 6: Final answer
    x = 220,508.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.