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Finding the Third Proportional to 306,380 and 441,282

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Solution

The third proportional to 306,380 and 441,282 is: 635,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,380 : 441,282 = 441,282 : x
  2. Step 2: Convert to fraction form
    306,380/441,282 = 441,282/x
  3. Step 3: Cross multiply
    306,380x = 441,282 × 441,282
  4. Step 4: Simplify right side
    306,380x = 194,729,803,524
  5. Step 5: Solve for x
    x = 194,729,803,524/306,380
  6. Step 6: Final answer
    x = 635,582.62

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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.