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Finding the Third Proportional to 276,576 and 378,510

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Solution

The third proportional to 276,576 and 378,510 is: 518,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,576 : 378,510 = 378,510 : x
  2. Step 2: Convert to fraction form
    276,576/378,510 = 378,510/x
  3. Step 3: Cross multiply
    276,576x = 378,510 × 378,510
  4. Step 4: Simplify right side
    276,576x = 143,269,820,100
  5. Step 5: Solve for x
    x = 143,269,820,100/276,576
  6. Step 6: Final answer
    x = 518,012.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.