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Finding the Third Proportional to 281,978 and 610,420

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Solution

The third proportional to 281,978 and 610,420 is: 1,321,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,978 : 610,420 = 610,420 : x
  2. Step 2: Convert to fraction form
    281,978/610,420 = 610,420/x
  3. Step 3: Cross multiply
    281,978x = 610,420 × 610,420
  4. Step 4: Simplify right side
    281,978x = 372,612,576,400
  5. Step 5: Solve for x
    x = 372,612,576,400/281,978
  6. Step 6: Final answer
    x = 1,321,424.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.