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Finding the Third Proportional to 300,460 and 609,218

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Solution

The third proportional to 300,460 and 609,218 is: 1,235,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,460 : 609,218 = 609,218 : x
  2. Step 2: Convert to fraction form
    300,460/609,218 = 609,218/x
  3. Step 3: Cross multiply
    300,460x = 609,218 × 609,218
  4. Step 4: Simplify right side
    300,460x = 371,146,571,524
  5. Step 5: Solve for x
    x = 371,146,571,524/300,460
  6. Step 6: Final answer
    x = 1,235,261.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.