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Finding the Third Proportional to 276,948 and 414,990

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Solution

The third proportional to 276,948 and 414,990 is: 621,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,948 : 414,990 = 414,990 : x
  2. Step 2: Convert to fraction form
    276,948/414,990 = 414,990/x
  3. Step 3: Cross multiply
    276,948x = 414,990 × 414,990
  4. Step 4: Simplify right side
    276,948x = 172,216,700,100
  5. Step 5: Solve for x
    x = 172,216,700,100/276,948
  6. Step 6: Final answer
    x = 621,837.67

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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.