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Finding the Third Proportional to 228,030 and 485,589

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Solution

The third proportional to 228,030 and 485,589 is: 1,034,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,030 : 485,589 = 485,589 : x
  2. Step 2: Convert to fraction form
    228,030/485,589 = 485,589/x
  3. Step 3: Cross multiply
    228,030x = 485,589 × 485,589
  4. Step 4: Simplify right side
    228,030x = 235,796,676,921
  5. Step 5: Solve for x
    x = 235,796,676,921/228,030
  6. Step 6: Final answer
    x = 1,034,059.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.