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Finding the Third Proportional to 140,106 and 210,189

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Solution

The third proportional to 140,106 and 210,189 is: 315,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,106 : 210,189 = 210,189 : x
  2. Step 2: Convert to fraction form
    140,106/210,189 = 210,189/x
  3. Step 3: Cross multiply
    140,106x = 210,189 × 210,189
  4. Step 4: Simplify right side
    140,106x = 44,179,415,721
  5. Step 5: Solve for x
    x = 44,179,415,721/140,106
  6. Step 6: Final answer
    x = 315,328.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.