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Finding the Third Proportional to 66,314 and 140,809

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Solution

The third proportional to 66,314 and 140,809 is: 298,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,314 : 140,809 = 140,809 : x
  2. Step 2: Convert to fraction form
    66,314/140,809 = 140,809/x
  3. Step 3: Cross multiply
    66,314x = 140,809 × 140,809
  4. Step 4: Simplify right side
    66,314x = 19,827,174,481
  5. Step 5: Solve for x
    x = 19,827,174,481/66,314
  6. Step 6: Final answer
    x = 298,989.27

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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.