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Finding the Third Proportional to 210,473 and 374,197

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Solution

The third proportional to 210,473 and 374,197 is: 665,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,473 : 374,197 = 374,197 : x
  2. Step 2: Convert to fraction form
    210,473/374,197 = 374,197/x
  3. Step 3: Cross multiply
    210,473x = 374,197 × 374,197
  4. Step 4: Simplify right side
    210,473x = 140,023,394,809
  5. Step 5: Solve for x
    x = 140,023,394,809/210,473
  6. Step 6: Final answer
    x = 665,279.61

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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.