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Finding the Third Proportional to 51,012 and 68,053

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Solution

The third proportional to 51,012 and 68,053 is: 90,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,012 : 68,053 = 68,053 : x
  2. Step 2: Convert to fraction form
    51,012/68,053 = 68,053/x
  3. Step 3: Cross multiply
    51,012x = 68,053 × 68,053
  4. Step 4: Simplify right side
    51,012x = 4,631,210,809
  5. Step 5: Solve for x
    x = 4,631,210,809/51,012
  6. Step 6: Final answer
    x = 90,786.69

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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.