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Finding the Third Proportional to 199,498.50 and 433,989

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Solution

The third proportional to 199,498.50 and 433,989 is: 944,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,498.50 : 433,989 = 433,989 : x
  2. Step 2: Convert to fraction form
    199,498.50/433,989 = 433,989/x
  3. Step 3: Cross multiply
    199,498.50x = 433,989 × 433,989
  4. Step 4: Simplify right side
    199,498.50x = 188,346,452,121
  5. Step 5: Solve for x
    x = 188,346,452,121/199,498.50
  6. Step 6: Final answer
    x = 944,099.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.