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Finding the Third Proportional to 219,938 and 490,420

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Solution

The third proportional to 219,938 and 490,420 is: 1,093,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,938 : 490,420 = 490,420 : x
  2. Step 2: Convert to fraction form
    219,938/490,420 = 490,420/x
  3. Step 3: Cross multiply
    219,938x = 490,420 × 490,420
  4. Step 4: Simplify right side
    219,938x = 240,511,776,400
  5. Step 5: Solve for x
    x = 240,511,776,400/219,938
  6. Step 6: Final answer
    x = 1,093,543.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.