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Finding the Third Proportional to 4,666.50 and 10,197

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Solution

The third proportional to 4,666.50 and 10,197 is: 22,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.50 : 10,197 = 10,197 : x
  2. Step 2: Convert to fraction form
    4,666.50/10,197 = 10,197/x
  3. Step 3: Cross multiply
    4,666.50x = 10,197 × 10,197
  4. Step 4: Simplify right side
    4,666.50x = 103,978,809
  5. Step 5: Solve for x
    x = 103,978,809/4,666.50
  6. Step 6: Final answer
    x = 22,281.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.