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Finding the Third Proportional to 276,803 and 427,031

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Solution

The third proportional to 276,803 and 427,031 is: 658,791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,803 : 427,031 = 427,031 : x
  2. Step 2: Convert to fraction form
    276,803/427,031 = 427,031/x
  3. Step 3: Cross multiply
    276,803x = 427,031 × 427,031
  4. Step 4: Simplify right side
    276,803x = 182,355,474,961
  5. Step 5: Solve for x
    x = 182,355,474,961/276,803
  6. Step 6: Final answer
    x = 658,791.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.