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Finding the Third Proportional to 386,072 and 582,145

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Solution

The third proportional to 386,072 and 582,145 is: 877,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,072 : 582,145 = 582,145 : x
  2. Step 2: Convert to fraction form
    386,072/582,145 = 582,145/x
  3. Step 3: Cross multiply
    386,072x = 582,145 × 582,145
  4. Step 4: Simplify right side
    386,072x = 338,892,801,025
  5. Step 5: Solve for x
    x = 338,892,801,025/386,072
  6. Step 6: Final answer
    x = 877,796.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.