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Finding the Third Proportional to 298,338 and 450,387

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Solution

The third proportional to 298,338 and 450,387 is: 679,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,338 : 450,387 = 450,387 : x
  2. Step 2: Convert to fraction form
    298,338/450,387 = 450,387/x
  3. Step 3: Cross multiply
    298,338x = 450,387 × 450,387
  4. Step 4: Simplify right side
    298,338x = 202,848,449,769
  5. Step 5: Solve for x
    x = 202,848,449,769/298,338
  6. Step 6: Final answer
    x = 679,928.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.