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Finding the Third Proportional to 51,170 and 104,421

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Solution

The third proportional to 51,170 and 104,421 is: 213,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,170 : 104,421 = 104,421 : x
  2. Step 2: Convert to fraction form
    51,170/104,421 = 104,421/x
  3. Step 3: Cross multiply
    51,170x = 104,421 × 104,421
  4. Step 4: Simplify right side
    51,170x = 10,903,745,241
  5. Step 5: Solve for x
    x = 10,903,745,241/51,170
  6. Step 6: Final answer
    x = 213,088.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.