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Finding the Third Proportional to 451,868 and 978,130

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Solution

The third proportional to 451,868 and 978,130 is: 2,117,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,868 : 978,130 = 978,130 : x
  2. Step 2: Convert to fraction form
    451,868/978,130 = 978,130/x
  3. Step 3: Cross multiply
    451,868x = 978,130 × 978,130
  4. Step 4: Simplify right side
    451,868x = 956,738,296,900
  5. Step 5: Solve for x
    x = 956,738,296,900/451,868
  6. Step 6: Final answer
    x = 2,117,295.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.