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Finding the Third Proportional to 420,508 and 946,288

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Solution

The third proportional to 420,508 and 946,288 is: 2,129,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,508 : 946,288 = 946,288 : x
  2. Step 2: Convert to fraction form
    420,508/946,288 = 946,288/x
  3. Step 3: Cross multiply
    420,508x = 946,288 × 946,288
  4. Step 4: Simplify right side
    420,508x = 895,460,978,944
  5. Step 5: Solve for x
    x = 895,460,978,944/420,508
  6. Step 6: Final answer
    x = 2,129,474.30

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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.