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Finding the Third Proportional to 204,986 and 440,602

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Solution

The third proportional to 204,986 and 440,602 is: 947,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,986 : 440,602 = 440,602 : x
  2. Step 2: Convert to fraction form
    204,986/440,602 = 440,602/x
  3. Step 3: Cross multiply
    204,986x = 440,602 × 440,602
  4. Step 4: Simplify right side
    204,986x = 194,130,122,404
  5. Step 5: Solve for x
    x = 194,130,122,404/204,986
  6. Step 6: Final answer
    x = 947,040.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.