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Finding the Third Proportional to 289,832 and 445,548

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Solution

The third proportional to 289,832 and 445,548 is: 684,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,832 : 445,548 = 445,548 : x
  2. Step 2: Convert to fraction form
    289,832/445,548 = 445,548/x
  3. Step 3: Cross multiply
    289,832x = 445,548 × 445,548
  4. Step 4: Simplify right side
    289,832x = 198,513,020,304
  5. Step 5: Solve for x
    x = 198,513,020,304/289,832
  6. Step 6: Final answer
    x = 684,924.44

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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.