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Finding the Third Proportional to 9,198 and 14,431.50

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Solution

The third proportional to 9,198 and 14,431.50 is: 22,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 14,431.50 = 14,431.50 : x
  2. Step 2: Convert to fraction form
    9,198/14,431.50 = 14,431.50/x
  3. Step 3: Cross multiply
    9,198x = 14,431.50 × 14,431.50
  4. Step 4: Simplify right side
    9,198x = 208,268,192.25
  5. Step 5: Solve for x
    x = 208,268,192.25/9,198
  6. Step 6: Final answer
    x = 22,642.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.