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Finding the Third Proportional to 224,749 and 490,915

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Solution

The third proportional to 224,749 and 490,915 is: 1,072,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,749 : 490,915 = 490,915 : x
  2. Step 2: Convert to fraction form
    224,749/490,915 = 490,915/x
  3. Step 3: Cross multiply
    224,749x = 490,915 × 490,915
  4. Step 4: Simplify right side
    224,749x = 240,997,537,225
  5. Step 5: Solve for x
    x = 240,997,537,225/224,749
  6. Step 6: Final answer
    x = 1,072,296.37

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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.