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Finding the Third Proportional to 389,610 and 582,848

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Solution

The third proportional to 389,610 and 582,848 is: 871,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,610 : 582,848 = 582,848 : x
  2. Step 2: Convert to fraction form
    389,610/582,848 = 582,848/x
  3. Step 3: Cross multiply
    389,610x = 582,848 × 582,848
  4. Step 4: Simplify right side
    389,610x = 339,711,791,104
  5. Step 5: Solve for x
    x = 339,711,791,104/389,610
  6. Step 6: Final answer
    x = 871,927.80

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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.