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Finding the Third Proportional to 685,648 and 1,489,228

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Solution

The third proportional to 685,648 and 1,489,228 is: 3,234,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,648 : 1,489,228 = 1,489,228 : x
  2. Step 2: Convert to fraction form
    685,648/1,489,228 = 1,489,228/x
  3. Step 3: Cross multiply
    685,648x = 1,489,228 × 1,489,228
  4. Step 4: Simplify right side
    685,648x = 2,217,800,035,984
  5. Step 5: Solve for x
    x = 2,217,800,035,984/685,648
  6. Step 6: Final answer
    x = 3,234,604.40

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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.