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Finding the Third Proportional to 143,137 and 310,938

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Solution

The third proportional to 143,137 and 310,938 is: 675,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,137 : 310,938 = 310,938 : x
  2. Step 2: Convert to fraction form
    143,137/310,938 = 310,938/x
  3. Step 3: Cross multiply
    143,137x = 310,938 × 310,938
  4. Step 4: Simplify right side
    143,137x = 96,682,439,844
  5. Step 5: Solve for x
    x = 96,682,439,844/143,137
  6. Step 6: Final answer
    x = 675,453.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.