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Finding the Third Proportional to 51,012 and 78,795

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Solution

The third proportional to 51,012 and 78,795 is: 121,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,012 : 78,795 = 78,795 : x
  2. Step 2: Convert to fraction form
    51,012/78,795 = 78,795/x
  3. Step 3: Cross multiply
    51,012x = 78,795 × 78,795
  4. Step 4: Simplify right side
    51,012x = 6,208,652,025
  5. Step 5: Solve for x
    x = 6,208,652,025/51,012
  6. Step 6: Final answer
    x = 121,709.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.