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Finding the Third Proportional to 100,170 and 210,060

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Solution

The third proportional to 100,170 and 210,060 is: 440,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,170 : 210,060 = 210,060 : x
  2. Step 2: Convert to fraction form
    100,170/210,060 = 210,060/x
  3. Step 3: Cross multiply
    100,170x = 210,060 × 210,060
  4. Step 4: Simplify right side
    100,170x = 44,125,203,600
  5. Step 5: Solve for x
    x = 44,125,203,600/100,170
  6. Step 6: Final answer
    x = 440,503.18

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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.