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Finding the Third Proportional to 276,738 and 577,078

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Solution

The third proportional to 276,738 and 577,078 is: 1,203,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,738 : 577,078 = 577,078 : x
  2. Step 2: Convert to fraction form
    276,738/577,078 = 577,078/x
  3. Step 3: Cross multiply
    276,738x = 577,078 × 577,078
  4. Step 4: Simplify right side
    276,738x = 333,019,018,084
  5. Step 5: Solve for x
    x = 333,019,018,084/276,738
  6. Step 6: Final answer
    x = 1,203,372.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.