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Finding the Third Proportional to 425,840 and 668,016

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Solution

The third proportional to 425,840 and 668,016 is: 1,047,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,840 : 668,016 = 668,016 : x
  2. Step 2: Convert to fraction form
    425,840/668,016 = 668,016/x
  3. Step 3: Cross multiply
    425,840x = 668,016 × 668,016
  4. Step 4: Simplify right side
    425,840x = 446,245,376,256
  5. Step 5: Solve for x
    x = 446,245,376,256/425,840
  6. Step 6: Final answer
    x = 1,047,917.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.