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Finding the Third Proportional to 96,433.50 and 140,880

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Solution

The third proportional to 96,433.50 and 140,880 is: 205,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,433.50 : 140,880 = 140,880 : x
  2. Step 2: Convert to fraction form
    96,433.50/140,880 = 140,880/x
  3. Step 3: Cross multiply
    96,433.50x = 140,880 × 140,880
  4. Step 4: Simplify right side
    96,433.50x = 19,847,174,400
  5. Step 5: Solve for x
    x = 19,847,174,400/96,433.50
  6. Step 6: Final answer
    x = 205,812.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.