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Finding the Third Proportional to 420,453 and 946,155

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Solution

The third proportional to 420,453 and 946,155 is: 2,129,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,453 : 946,155 = 946,155 : x
  2. Step 2: Convert to fraction form
    420,453/946,155 = 946,155/x
  3. Step 3: Cross multiply
    420,453x = 946,155 × 946,155
  4. Step 4: Simplify right side
    420,453x = 895,209,284,025
  5. Step 5: Solve for x
    x = 895,209,284,025/420,453
  6. Step 6: Final answer
    x = 2,129,154.23

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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.