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Finding the Third Proportional to 72,751.50 and 109,226.81

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Solution

The third proportional to 72,751.50 and 109,226.81 is: 163,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,751.50 : 109,226.81 = 109,226.81 : x
  2. Step 2: Convert to fraction form
    72,751.50/109,226.81 = 109,226.81/x
  3. Step 3: Cross multiply
    72,751.50x = 109,226.81 × 109,226.81
  4. Step 4: Simplify right side
    72,751.50x = 11,930,496,568.91
  5. Step 5: Solve for x
    x = 11,930,496,568.91/72,751.50
  6. Step 6: Final answer
    x = 163,989.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.