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Finding the Third Proportional to 289,072 and 444,872

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Solution

The third proportional to 289,072 and 444,872 is: 684,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,072 : 444,872 = 444,872 : x
  2. Step 2: Convert to fraction form
    289,072/444,872 = 444,872/x
  3. Step 3: Cross multiply
    289,072x = 444,872 × 444,872
  4. Step 4: Simplify right side
    289,072x = 197,911,096,384
  5. Step 5: Solve for x
    x = 197,911,096,384/289,072
  6. Step 6: Final answer
    x = 684,642.91

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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.