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Finding the Third Proportional to 276,389 and 580,642

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Solution

The third proportional to 276,389 and 580,642 is: 1,219,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,389 : 580,642 = 580,642 : x
  2. Step 2: Convert to fraction form
    276,389/580,642 = 580,642/x
  3. Step 3: Cross multiply
    276,389x = 580,642 × 580,642
  4. Step 4: Simplify right side
    276,389x = 337,145,132,164
  5. Step 5: Solve for x
    x = 337,145,132,164/276,389
  6. Step 6: Final answer
    x = 1,219,821.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.