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Finding the Third Proportional to 654,912.38 and 978,324.38

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Solution

The third proportional to 654,912.38 and 978,324.38 is: 1,461,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,912.38 : 978,324.38 = 978,324.38 : x
  2. Step 2: Convert to fraction form
    654,912.38/978,324.38 = 978,324.38/x
  3. Step 3: Cross multiply
    654,912.38x = 978,324.38 × 978,324.38
  4. Step 4: Simplify right side
    654,912.38x = 957,118,582,719.14
  5. Step 5: Solve for x
    x = 957,118,582,719.14/654,912.38
  6. Step 6: Final answer
    x = 1,461,445.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.