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Finding the Third Proportional to 680,825.25 and 989,313.75

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Solution

The third proportional to 680,825.25 and 989,313.75 is: 1,437,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,825.25 : 989,313.75 = 989,313.75 : x
  2. Step 2: Convert to fraction form
    680,825.25/989,313.75 = 989,313.75/x
  3. Step 3: Cross multiply
    680,825.25x = 989,313.75 × 989,313.75
  4. Step 4: Simplify right side
    680,825.25x = 978,741,695,939.06
  5. Step 5: Solve for x
    x = 978,741,695,939.06/680,825.25
  6. Step 6: Final answer
    x = 1,437,581.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.