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Finding the Third Proportional to 622,927 and 978,660

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Solution

The third proportional to 622,927 and 978,660 is: 1,537,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,927 : 978,660 = 978,660 : x
  2. Step 2: Convert to fraction form
    622,927/978,660 = 978,660/x
  3. Step 3: Cross multiply
    622,927x = 978,660 × 978,660
  4. Step 4: Simplify right side
    622,927x = 957,775,395,600
  5. Step 5: Solve for x
    x = 957,775,395,600/622,927
  6. Step 6: Final answer
    x = 1,537,540.35

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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.