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Finding the Third Proportional to 276,496 and 585,391

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Solution

The third proportional to 276,496 and 585,391 is: 1,239,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,496 : 585,391 = 585,391 : x
  2. Step 2: Convert to fraction form
    276,496/585,391 = 585,391/x
  3. Step 3: Cross multiply
    276,496x = 585,391 × 585,391
  4. Step 4: Simplify right side
    276,496x = 342,682,622,881
  5. Step 5: Solve for x
    x = 342,682,622,881/276,496
  6. Step 6: Final answer
    x = 1,239,376.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.