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Finding the Third Proportional to 13,543.50 and 17,975.25

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Solution

The third proportional to 13,543.50 and 17,975.25 is: 23,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.50 : 17,975.25 = 17,975.25 : x
  2. Step 2: Convert to fraction form
    13,543.50/17,975.25 = 17,975.25/x
  3. Step 3: Cross multiply
    13,543.50x = 17,975.25 × 17,975.25
  4. Step 4: Simplify right side
    13,543.50x = 323,109,612.56
  5. Step 5: Solve for x
    x = 323,109,612.56/13,543.50
  6. Step 6: Final answer
    x = 23,857.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.