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Finding the Third Proportional to 143,737 and 305,881

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Solution

The third proportional to 143,737 and 305,881 is: 650,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,737 : 305,881 = 305,881 : x
  2. Step 2: Convert to fraction form
    143,737/305,881 = 305,881/x
  3. Step 3: Cross multiply
    143,737x = 305,881 × 305,881
  4. Step 4: Simplify right side
    143,737x = 93,563,186,161
  5. Step 5: Solve for x
    x = 93,563,186,161/143,737
  6. Step 6: Final answer
    x = 650,933.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.