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Finding the Third Proportional to 266,442 and 398,852

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Solution

The third proportional to 266,442 and 398,852 is: 597,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,442 : 398,852 = 398,852 : x
  2. Step 2: Convert to fraction form
    266,442/398,852 = 398,852/x
  3. Step 3: Cross multiply
    266,442x = 398,852 × 398,852
  4. Step 4: Simplify right side
    266,442x = 159,082,917,904
  5. Step 5: Solve for x
    x = 159,082,917,904/266,442
  6. Step 6: Final answer
    x = 597,063.97

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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.