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Finding the Third Proportional to 65,733 and 143,905

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Solution

The third proportional to 65,733 and 143,905 is: 315,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733 : 143,905 = 143,905 : x
  2. Step 2: Convert to fraction form
    65,733/143,905 = 143,905/x
  3. Step 3: Cross multiply
    65,733x = 143,905 × 143,905
  4. Step 4: Simplify right side
    65,733x = 20,708,649,025
  5. Step 5: Solve for x
    x = 20,708,649,025/65,733
  6. Step 6: Final answer
    x = 315,041.90

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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.