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Finding the Third Proportional to 281,478 and 609,936

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Solution

The third proportional to 281,478 and 609,936 is: 1,321,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,478 : 609,936 = 609,936 : x
  2. Step 2: Convert to fraction form
    281,478/609,936 = 609,936/x
  3. Step 3: Cross multiply
    281,478x = 609,936 × 609,936
  4. Step 4: Simplify right side
    281,478x = 372,021,924,096
  5. Step 5: Solve for x
    x = 372,021,924,096/281,478
  6. Step 6: Final answer
    x = 1,321,673.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.