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Finding the Third Proportional to 66,994 and 145,652

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Solution

The third proportional to 66,994 and 145,652 is: 316,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,994 : 145,652 = 145,652 : x
  2. Step 2: Convert to fraction form
    66,994/145,652 = 145,652/x
  3. Step 3: Cross multiply
    66,994x = 145,652 × 145,652
  4. Step 4: Simplify right side
    66,994x = 21,214,505,104
  5. Step 5: Solve for x
    x = 21,214,505,104/66,994
  6. Step 6: Final answer
    x = 316,662.76

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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.