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Finding the Third Proportional to 376,678 and 558,500

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Solution

The third proportional to 376,678 and 558,500 is: 828,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,678 : 558,500 = 558,500 : x
  2. Step 2: Convert to fraction form
    376,678/558,500 = 558,500/x
  3. Step 3: Cross multiply
    376,678x = 558,500 × 558,500
  4. Step 4: Simplify right side
    376,678x = 311,922,250,000
  5. Step 5: Solve for x
    x = 311,922,250,000/376,678
  6. Step 6: Final answer
    x = 828,087.25

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.