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Finding the Third Proportional to 264,618 and 397,520

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Solution

The third proportional to 264,618 and 397,520 is: 597,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,618 : 397,520 = 397,520 : x
  2. Step 2: Convert to fraction form
    264,618/397,520 = 397,520/x
  3. Step 3: Cross multiply
    264,618x = 397,520 × 397,520
  4. Step 4: Simplify right side
    264,618x = 158,022,150,400
  5. Step 5: Solve for x
    x = 158,022,150,400/264,618
  6. Step 6: Final answer
    x = 597,170.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.