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Finding the Third Proportional to 65,551 and 143,005

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Solution

The third proportional to 65,551 and 143,005 is: 311,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,551 : 143,005 = 143,005 : x
  2. Step 2: Convert to fraction form
    65,551/143,005 = 143,005/x
  3. Step 3: Cross multiply
    65,551x = 143,005 × 143,005
  4. Step 4: Simplify right side
    65,551x = 20,450,430,025
  5. Step 5: Solve for x
    x = 20,450,430,025/65,551
  6. Step 6: Final answer
    x = 311,977.39

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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.