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Finding the Third Proportional to 289,330 and 444,991

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Solution

The third proportional to 289,330 and 444,991 is: 684,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,330 : 444,991 = 444,991 : x
  2. Step 2: Convert to fraction form
    289,330/444,991 = 444,991/x
  3. Step 3: Cross multiply
    289,330x = 444,991 × 444,991
  4. Step 4: Simplify right side
    289,330x = 198,016,990,081
  5. Step 5: Solve for x
    x = 198,016,990,081/289,330
  6. Step 6: Final answer
    x = 684,398.40

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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.