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Finding the Third Proportional to 65,722 and 143,883

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Solution

The third proportional to 65,722 and 143,883 is: 314,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,722 : 143,883 = 143,883 : x
  2. Step 2: Convert to fraction form
    65,722/143,883 = 143,883/x
  3. Step 3: Cross multiply
    65,722x = 143,883 × 143,883
  4. Step 4: Simplify right side
    65,722x = 20,702,317,689
  5. Step 5: Solve for x
    x = 20,702,317,689/65,722
  6. Step 6: Final answer
    x = 314,998.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.