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Finding the Third Proportional to 661,020.75 and 989,025.19

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Solution

The third proportional to 661,020.75 and 989,025.19 is: 1,479,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,020.75 : 989,025.19 = 989,025.19 : x
  2. Step 2: Convert to fraction form
    661,020.75/989,025.19 = 989,025.19/x
  3. Step 3: Cross multiply
    661,020.75x = 989,025.19 × 989,025.19
  4. Step 4: Simplify right side
    661,020.75x = 978,170,821,509.41
  5. Step 5: Solve for x
    x = 978,170,821,509.41/661,020.75
  6. Step 6: Final answer
    x = 1,479,788.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.