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Finding the Third Proportional to 143,680.50 and 211,344.75

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Solution

The third proportional to 143,680.50 and 211,344.75 is: 310,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,680.50 : 211,344.75 = 211,344.75 : x
  2. Step 2: Convert to fraction form
    143,680.50/211,344.75 = 211,344.75/x
  3. Step 3: Cross multiply
    143,680.50x = 211,344.75 × 211,344.75
  4. Step 4: Simplify right side
    143,680.50x = 44,666,603,352.56
  5. Step 5: Solve for x
    x = 44,666,603,352.56/143,680.50
  6. Step 6: Final answer
    x = 310,874.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.