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Finding the Third Proportional to 51,236.75 and 78,409.75

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Solution

The third proportional to 51,236.75 and 78,409.75 is: 119,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,236.75 : 78,409.75 = 78,409.75 : x
  2. Step 2: Convert to fraction form
    51,236.75/78,409.75 = 78,409.75/x
  3. Step 3: Cross multiply
    51,236.75x = 78,409.75 × 78,409.75
  4. Step 4: Simplify right side
    51,236.75x = 6,148,088,895.06
  5. Step 5: Solve for x
    x = 6,148,088,895.06/51,236.75
  6. Step 6: Final answer
    x = 119,993.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.