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Finding the Third Proportional to 445,540.50 and 689,418.75

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Solution

The third proportional to 445,540.50 and 689,418.75 is: 1,066,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,540.50 : 689,418.75 = 689,418.75 : x
  2. Step 2: Convert to fraction form
    445,540.50/689,418.75 = 689,418.75/x
  3. Step 3: Cross multiply
    445,540.50x = 689,418.75 × 689,418.75
  4. Step 4: Simplify right side
    445,540.50x = 475,298,212,851.56
  5. Step 5: Solve for x
    x = 475,298,212,851.56/445,540.50
  6. Step 6: Final answer
    x = 1,066,790.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.