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Finding the Third Proportional to 65,661 and 143,203

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Solution

The third proportional to 65,661 and 143,203 is: 312,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,661 : 143,203 = 143,203 : x
  2. Step 2: Convert to fraction form
    65,661/143,203 = 143,203/x
  3. Step 3: Cross multiply
    65,661x = 143,203 × 143,203
  4. Step 4: Simplify right side
    65,661x = 20,507,099,209
  5. Step 5: Solve for x
    x = 20,507,099,209/65,661
  6. Step 6: Final answer
    x = 312,317.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.