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Finding the Third Proportional to 65,331 and 143,110

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Solution

The third proportional to 65,331 and 143,110 is: 313,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,331 : 143,110 = 143,110 : x
  2. Step 2: Convert to fraction form
    65,331/143,110 = 143,110/x
  3. Step 3: Cross multiply
    65,331x = 143,110 × 143,110
  4. Step 4: Simplify right side
    65,331x = 20,480,472,100
  5. Step 5: Solve for x
    x = 20,480,472,100/65,331
  6. Step 6: Final answer
    x = 313,487.81

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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.