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Finding the Third Proportional to 51,803 and 112,975

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Solution

The third proportional to 51,803 and 112,975 is: 246,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803 : 112,975 = 112,975 : x
  2. Step 2: Convert to fraction form
    51,803/112,975 = 112,975/x
  3. Step 3: Cross multiply
    51,803x = 112,975 × 112,975
  4. Step 4: Simplify right side
    51,803x = 12,763,350,625
  5. Step 5: Solve for x
    x = 12,763,350,625/51,803
  6. Step 6: Final answer
    x = 246,382.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.