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Finding the Third Proportional to 51,809 and 68,767.50

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Solution

The third proportional to 51,809 and 68,767.50 is: 91,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809 : 68,767.50 = 68,767.50 : x
  2. Step 2: Convert to fraction form
    51,809/68,767.50 = 68,767.50/x
  3. Step 3: Cross multiply
    51,809x = 68,767.50 × 68,767.50
  4. Step 4: Simplify right side
    51,809x = 4,728,969,056.25
  5. Step 5: Solve for x
    x = 4,728,969,056.25/51,809
  6. Step 6: Final answer
    x = 91,276.98

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.