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Finding the Third Proportional to 100,186 and 210,100

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Solution

The third proportional to 100,186 and 210,100 is: 440,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,186 : 210,100 = 210,100 : x
  2. Step 2: Convert to fraction form
    100,186/210,100 = 210,100/x
  3. Step 3: Cross multiply
    100,186x = 210,100 × 210,100
  4. Step 4: Simplify right side
    100,186x = 44,142,010,000
  5. Step 5: Solve for x
    x = 44,142,010,000/100,186
  6. Step 6: Final answer
    x = 440,600.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.