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Finding the Third Proportional to 47,821 and 102,958

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Solution

The third proportional to 47,821 and 102,958 is: 221,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,821 : 102,958 = 102,958 : x
  2. Step 2: Convert to fraction form
    47,821/102,958 = 102,958/x
  3. Step 3: Cross multiply
    47,821x = 102,958 × 102,958
  4. Step 4: Simplify right side
    47,821x = 10,600,349,764
  5. Step 5: Solve for x
    x = 10,600,349,764/47,821
  6. Step 6: Final answer
    x = 221,667.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.