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Finding the Third Proportional to 281,945 and 619,969

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Solution

The third proportional to 281,945 and 619,969 is: 1,363,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,945 : 619,969 = 619,969 : x
  2. Step 2: Convert to fraction form
    281,945/619,969 = 619,969/x
  3. Step 3: Cross multiply
    281,945x = 619,969 × 619,969
  4. Step 4: Simplify right side
    281,945x = 384,361,560,961
  5. Step 5: Solve for x
    x = 384,361,560,961/281,945
  6. Step 6: Final answer
    x = 1,363,250.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.