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Finding the Third Proportional to 47,078 and 97,990

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Solution

The third proportional to 47,078 and 97,990 is: 203,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,078 : 97,990 = 97,990 : x
  2. Step 2: Convert to fraction form
    47,078/97,990 = 97,990/x
  3. Step 3: Cross multiply
    47,078x = 97,990 × 97,990
  4. Step 4: Simplify right side
    47,078x = 9,602,040,100
  5. Step 5: Solve for x
    x = 9,602,040,100/47,078
  6. Step 6: Final answer
    x = 203,960.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.