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Finding the Third Proportional to 289,328 and 444,988

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Solution

The third proportional to 289,328 and 444,988 is: 684,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,328 : 444,988 = 444,988 : x
  2. Step 2: Convert to fraction form
    289,328/444,988 = 444,988/x
  3. Step 3: Cross multiply
    289,328x = 444,988 × 444,988
  4. Step 4: Simplify right side
    289,328x = 198,014,320,144
  5. Step 5: Solve for x
    x = 198,014,320,144/289,328
  6. Step 6: Final answer
    x = 684,393.91

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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.