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Finding the Third Proportional to 47,137 and 99,121

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Solution

The third proportional to 47,137 and 99,121 is: 208,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,137 : 99,121 = 99,121 : x
  2. Step 2: Convert to fraction form
    47,137/99,121 = 99,121/x
  3. Step 3: Cross multiply
    47,137x = 99,121 × 99,121
  4. Step 4: Simplify right side
    47,137x = 9,824,972,641
  5. Step 5: Solve for x
    x = 9,824,972,641/47,137
  6. Step 6: Final answer
    x = 208,434.41

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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.