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Finding the Third Proportional to 608,887 and 978,375

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Solution

The third proportional to 608,887 and 978,375 is: 1,572,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,887 : 978,375 = 978,375 : x
  2. Step 2: Convert to fraction form
    608,887/978,375 = 978,375/x
  3. Step 3: Cross multiply
    608,887x = 978,375 × 978,375
  4. Step 4: Simplify right side
    608,887x = 957,217,640,625
  5. Step 5: Solve for x
    x = 957,217,640,625/608,887
  6. Step 6: Final answer
    x = 1,572,077.64

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