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Finding the Third Proportional to 102,338 and 143,908

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Solution

The third proportional to 102,338 and 143,908 is: 202,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,338 : 143,908 = 143,908 : x
  2. Step 2: Convert to fraction form
    102,338/143,908 = 143,908/x
  3. Step 3: Cross multiply
    102,338x = 143,908 × 143,908
  4. Step 4: Simplify right side
    102,338x = 20,709,512,464
  5. Step 5: Solve for x
    x = 20,709,512,464/102,338
  6. Step 6: Final answer
    x = 202,363.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.