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Finding the Third Proportional to 279,138 and 398,700

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Solution

The third proportional to 279,138 and 398,700 is: 569,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,138 : 398,700 = 398,700 : x
  2. Step 2: Convert to fraction form
    279,138/398,700 = 398,700/x
  3. Step 3: Cross multiply
    279,138x = 398,700 × 398,700
  4. Step 4: Simplify right side
    279,138x = 158,961,690,000
  5. Step 5: Solve for x
    x = 158,961,690,000/279,138
  6. Step 6: Final answer
    x = 569,473.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.