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Finding the Third Proportional to 98,434 and 210,809

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Solution

The third proportional to 98,434 and 210,809 is: 451,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,434 : 210,809 = 210,809 : x
  2. Step 2: Convert to fraction form
    98,434/210,809 = 210,809/x
  3. Step 3: Cross multiply
    98,434x = 210,809 × 210,809
  4. Step 4: Simplify right side
    98,434x = 44,440,434,481
  5. Step 5: Solve for x
    x = 44,440,434,481/98,434
  6. Step 6: Final answer
    x = 451,474.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.