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Finding the Third Proportional to 140,170 and 201,488

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Solution

The third proportional to 140,170 and 201,488 is: 289,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,170 : 201,488 = 201,488 : x
  2. Step 2: Convert to fraction form
    140,170/201,488 = 201,488/x
  3. Step 3: Cross multiply
    140,170x = 201,488 × 201,488
  4. Step 4: Simplify right side
    140,170x = 40,597,414,144
  5. Step 5: Solve for x
    x = 40,597,414,144/140,170
  6. Step 6: Final answer
    x = 289,629.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.