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Finding the Third Proportional to 47,138 and 73,179

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Solution

The third proportional to 47,138 and 73,179 is: 113,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,138 : 73,179 = 73,179 : x
  2. Step 2: Convert to fraction form
    47,138/73,179 = 73,179/x
  3. Step 3: Cross multiply
    47,138x = 73,179 × 73,179
  4. Step 4: Simplify right side
    47,138x = 5,355,166,041
  5. Step 5: Solve for x
    x = 5,355,166,041/47,138
  6. Step 6: Final answer
    x = 113,606.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.