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Finding the Third Proportional to 101,996 and 143,377

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Solution

The third proportional to 101,996 and 143,377 is: 201,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,996 : 143,377 = 143,377 : x
  2. Step 2: Convert to fraction form
    101,996/143,377 = 143,377/x
  3. Step 3: Cross multiply
    101,996x = 143,377 × 143,377
  4. Step 4: Simplify right side
    101,996x = 20,556,964,129
  5. Step 5: Solve for x
    x = 20,556,964,129/101,996
  6. Step 6: Final answer
    x = 201,546.77

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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.