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Finding the Third Proportional to 66,974 and 140,844

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Solution

The third proportional to 66,974 and 140,844 is: 296,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,974 : 140,844 = 140,844 : x
  2. Step 2: Convert to fraction form
    66,974/140,844 = 140,844/x
  3. Step 3: Cross multiply
    66,974x = 140,844 × 140,844
  4. Step 4: Simplify right side
    66,974x = 19,837,032,336
  5. Step 5: Solve for x
    x = 19,837,032,336/66,974
  6. Step 6: Final answer
    x = 296,190.05

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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.