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Finding the Third Proportional to 224,747 and 490,911

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Solution

The third proportional to 224,747 and 490,911 is: 1,072,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,747 : 490,911 = 490,911 : x
  2. Step 2: Convert to fraction form
    224,747/490,911 = 490,911/x
  3. Step 3: Cross multiply
    224,747x = 490,911 × 490,911
  4. Step 4: Simplify right side
    224,747x = 240,993,609,921
  5. Step 5: Solve for x
    x = 240,993,609,921/224,747
  6. Step 6: Final answer
    x = 1,072,288.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.