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Finding the Third Proportional to 66,003 and 140,185

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Solution

The third proportional to 66,003 and 140,185 is: 297,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,003 : 140,185 = 140,185 : x
  2. Step 2: Convert to fraction form
    66,003/140,185 = 140,185/x
  3. Step 3: Cross multiply
    66,003x = 140,185 × 140,185
  4. Step 4: Simplify right side
    66,003x = 19,651,834,225
  5. Step 5: Solve for x
    x = 19,651,834,225/66,003
  6. Step 6: Final answer
    x = 297,741.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.