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Finding the Third Proportional to 420,462 and 946,179

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Solution

The third proportional to 420,462 and 946,179 is: 2,129,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,462 : 946,179 = 946,179 : x
  2. Step 2: Convert to fraction form
    420,462/946,179 = 946,179/x
  3. Step 3: Cross multiply
    420,462x = 946,179 × 946,179
  4. Step 4: Simplify right side
    420,462x = 895,254,700,041
  5. Step 5: Solve for x
    x = 895,254,700,041/420,462
  6. Step 6: Final answer
    x = 2,129,216.67

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.