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Finding the Third Proportional to 276,498 and 414,963

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Solution

The third proportional to 276,498 and 414,963 is: 622,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,498 : 414,963 = 414,963 : x
  2. Step 2: Convert to fraction form
    276,498/414,963 = 414,963/x
  3. Step 3: Cross multiply
    276,498x = 414,963 × 414,963
  4. Step 4: Simplify right side
    276,498x = 172,194,291,369
  5. Step 5: Solve for x
    x = 172,194,291,369/276,498
  6. Step 6: Final answer
    x = 622,768.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.