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Finding the Third Proportional to 210,786 and 374,790

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Solution

The third proportional to 210,786 and 374,790 is: 666,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,786 : 374,790 = 374,790 : x
  2. Step 2: Convert to fraction form
    210,786/374,790 = 374,790/x
  3. Step 3: Cross multiply
    210,786x = 374,790 × 374,790
  4. Step 4: Simplify right side
    210,786x = 140,467,544,100
  5. Step 5: Solve for x
    x = 140,467,544,100/210,786
  6. Step 6: Final answer
    x = 666,398.83

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.