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Finding the Third Proportional to 425,252 and 685,190

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Solution

The third proportional to 425,252 and 685,190 is: 1,104,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,252 : 685,190 = 685,190 : x
  2. Step 2: Convert to fraction form
    425,252/685,190 = 685,190/x
  3. Step 3: Cross multiply
    425,252x = 685,190 × 685,190
  4. Step 4: Simplify right side
    425,252x = 469,485,336,100
  5. Step 5: Solve for x
    x = 469,485,336,100/425,252
  6. Step 6: Final answer
    x = 1,104,016.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.