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Finding the Third Proportional to 389,604 and 582,852

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Solution

The third proportional to 389,604 and 582,852 is: 871,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,604 : 582,852 = 582,852 : x
  2. Step 2: Convert to fraction form
    389,604/582,852 = 582,852/x
  3. Step 3: Cross multiply
    389,604x = 582,852 × 582,852
  4. Step 4: Simplify right side
    389,604x = 339,716,453,904
  5. Step 5: Solve for x
    x = 339,716,453,904/389,604
  6. Step 6: Final answer
    x = 871,953.20

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