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Finding the Third Proportional to 289,071 and 444,879

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Solution

The third proportional to 289,071 and 444,879 is: 684,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,071 : 444,879 = 444,879 : x
  2. Step 2: Convert to fraction form
    289,071/444,879 = 444,879/x
  3. Step 3: Cross multiply
    289,071x = 444,879 × 444,879
  4. Step 4: Simplify right side
    289,071x = 197,917,324,641
  5. Step 5: Solve for x
    x = 197,917,324,641/289,071
  6. Step 6: Final answer
    x = 684,666.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.