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Finding the Third Proportional to 306,388 and 441,292

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Solution

The third proportional to 306,388 and 441,292 is: 635,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,388 : 441,292 = 441,292 : x
  2. Step 2: Convert to fraction form
    306,388/441,292 = 441,292/x
  3. Step 3: Cross multiply
    306,388x = 441,292 × 441,292
  4. Step 4: Simplify right side
    306,388x = 194,738,629,264
  5. Step 5: Solve for x
    x = 194,738,629,264/306,388
  6. Step 6: Final answer
    x = 635,594.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.