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Finding the Third Proportional to 228,085 and 485,680

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Solution

The third proportional to 228,085 and 485,680 is: 1,034,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,085 : 485,680 = 485,680 : x
  2. Step 2: Convert to fraction form
    228,085/485,680 = 485,680/x
  3. Step 3: Cross multiply
    228,085x = 485,680 × 485,680
  4. Step 4: Simplify right side
    228,085x = 235,885,062,400
  5. Step 5: Solve for x
    x = 235,885,062,400/228,085
  6. Step 6: Final answer
    x = 1,034,198.05

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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.