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Finding the Third Proportional to 30,994 and 67,138

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Solution

The third proportional to 30,994 and 67,138 is: 145,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994 : 67,138 = 67,138 : x
  2. Step 2: Convert to fraction form
    30,994/67,138 = 67,138/x
  3. Step 3: Cross multiply
    30,994x = 67,138 × 67,138
  4. Step 4: Simplify right side
    30,994x = 4,507,511,044
  5. Step 5: Solve for x
    x = 4,507,511,044/30,994
  6. Step 6: Final answer
    x = 145,431.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.