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Finding the Third Proportional to 230,902 and 486,819

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Solution

The third proportional to 230,902 and 486,819 is: 1,026,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,902 : 486,819 = 486,819 : x
  2. Step 2: Convert to fraction form
    230,902/486,819 = 486,819/x
  3. Step 3: Cross multiply
    230,902x = 486,819 × 486,819
  4. Step 4: Simplify right side
    230,902x = 236,992,738,761
  5. Step 5: Solve for x
    x = 236,992,738,761/230,902
  6. Step 6: Final answer
    x = 1,026,378.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.