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Finding the Third Proportional to 425,241 and 685,170

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Solution

The third proportional to 425,241 and 685,170 is: 1,103,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,241 : 685,170 = 685,170 : x
  2. Step 2: Convert to fraction form
    425,241/685,170 = 685,170/x
  3. Step 3: Cross multiply
    425,241x = 685,170 × 685,170
  4. Step 4: Simplify right side
    425,241x = 469,457,928,900
  5. Step 5: Solve for x
    x = 469,457,928,900/425,241
  6. Step 6: Final answer
    x = 1,103,980.87

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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.