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Finding the Third Proportional to 17,583 and 41,480.50

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Solution

The third proportional to 17,583 and 41,480.50 is: 97,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583 : 41,480.50 = 41,480.50 : x
  2. Step 2: Convert to fraction form
    17,583/41,480.50 = 41,480.50/x
  3. Step 3: Cross multiply
    17,583x = 41,480.50 × 41,480.50
  4. Step 4: Simplify right side
    17,583x = 1,720,631,880.25
  5. Step 5: Solve for x
    x = 1,720,631,880.25/17,583
  6. Step 6: Final answer
    x = 97,857.70

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.