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Finding the Third Proportional to 92,372.50 and 198,989

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Solution

The third proportional to 92,372.50 and 198,989 is: 428,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,372.50 : 198,989 = 198,989 : x
  2. Step 2: Convert to fraction form
    92,372.50/198,989 = 198,989/x
  3. Step 3: Cross multiply
    92,372.50x = 198,989 × 198,989
  4. Step 4: Simplify right side
    92,372.50x = 39,596,622,121
  5. Step 5: Solve for x
    x = 39,596,622,121/92,372.50
  6. Step 6: Final answer
    x = 428,662.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.