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Finding the Third Proportional to 85,584.94 and 128,393.44

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Solution

The third proportional to 85,584.94 and 128,393.44 is: 192,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,584.94 : 128,393.44 = 128,393.44 : x
  2. Step 2: Convert to fraction form
    85,584.94/128,393.44 = 128,393.44/x
  3. Step 3: Cross multiply
    85,584.94x = 128,393.44 × 128,393.44
  4. Step 4: Simplify right side
    85,584.94x = 16,484,874,793.07
  5. Step 5: Solve for x
    x = 16,484,874,793.07/85,584.94
  6. Step 6: Final answer
    x = 192,614.21

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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.