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Finding the Third Proportional to 390,027 and 582,489

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Solution

The third proportional to 390,027 and 582,489 is: 869,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,027 : 582,489 = 582,489 : x
  2. Step 2: Convert to fraction form
    390,027/582,489 = 582,489/x
  3. Step 3: Cross multiply
    390,027x = 582,489 × 582,489
  4. Step 4: Simplify right side
    390,027x = 339,293,435,121
  5. Step 5: Solve for x
    x = 339,293,435,121/390,027
  6. Step 6: Final answer
    x = 869,922.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.