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Finding the Third Proportional to 101,987 and 143,366

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Solution

The third proportional to 101,987 and 143,366 is: 201,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,987 : 143,366 = 143,366 : x
  2. Step 2: Convert to fraction form
    101,987/143,366 = 143,366/x
  3. Step 3: Cross multiply
    101,987x = 143,366 × 143,366
  4. Step 4: Simplify right side
    101,987x = 20,553,809,956
  5. Step 5: Solve for x
    x = 20,553,809,956/101,987
  6. Step 6: Final answer
    x = 201,533.63

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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.