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Finding the Third Proportional to 72,305.16 and 155,709.84

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Solution

The third proportional to 72,305.16 and 155,709.84 is: 335,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,305.16 : 155,709.84 = 155,709.84 : x
  2. Step 2: Convert to fraction form
    72,305.16/155,709.84 = 155,709.84/x
  3. Step 3: Cross multiply
    72,305.16x = 155,709.84 × 155,709.84
  4. Step 4: Simplify right side
    72,305.16x = 24,245,555,440.65
  5. Step 5: Solve for x
    x = 24,245,555,440.65/72,305.16
  6. Step 6: Final answer
    x = 335,322.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.