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Finding the Third Proportional to 298,140 and 446,028

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Solution

The third proportional to 298,140 and 446,028 is: 667,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,140 : 446,028 = 446,028 : x
  2. Step 2: Convert to fraction form
    298,140/446,028 = 446,028/x
  3. Step 3: Cross multiply
    298,140x = 446,028 × 446,028
  4. Step 4: Simplify right side
    298,140x = 198,940,976,784
  5. Step 5: Solve for x
    x = 198,940,976,784/298,140
  6. Step 6: Final answer
    x = 667,273.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.