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Finding the Third Proportional to 198,419.50 and 427,943

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Solution

The third proportional to 198,419.50 and 427,943 is: 922,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,419.50 : 427,943 = 427,943 : x
  2. Step 2: Convert to fraction form
    198,419.50/427,943 = 427,943/x
  3. Step 3: Cross multiply
    198,419.50x = 427,943 × 427,943
  4. Step 4: Simplify right side
    198,419.50x = 183,135,211,249
  5. Step 5: Solve for x
    x = 183,135,211,249/198,419.50
  6. Step 6: Final answer
    x = 922,969.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.