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Finding the Third Proportional to 128,515.50 and 192,017.25

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Solution

The third proportional to 128,515.50 and 192,017.25 is: 286,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,515.50 : 192,017.25 = 192,017.25 : x
  2. Step 2: Convert to fraction form
    128,515.50/192,017.25 = 192,017.25/x
  3. Step 3: Cross multiply
    128,515.50x = 192,017.25 × 192,017.25
  4. Step 4: Simplify right side
    128,515.50x = 36,870,624,297.56
  5. Step 5: Solve for x
    x = 36,870,624,297.56/128,515.50
  6. Step 6: Final answer
    x = 286,896.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.