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Finding the Third Proportional to 47,138 and 99,122

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Solution

The third proportional to 47,138 and 99,122 is: 208,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,138 : 99,122 = 99,122 : x
  2. Step 2: Convert to fraction form
    47,138/99,122 = 99,122/x
  3. Step 3: Cross multiply
    47,138x = 99,122 × 99,122
  4. Step 4: Simplify right side
    47,138x = 9,825,170,884
  5. Step 5: Solve for x
    x = 9,825,170,884/47,138
  6. Step 6: Final answer
    x = 208,434.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.