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Finding the Third Proportional to 128,880 and 195,102

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Solution

The third proportional to 128,880 and 195,102 is: 295,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,880 : 195,102 = 195,102 : x
  2. Step 2: Convert to fraction form
    128,880/195,102 = 195,102/x
  3. Step 3: Cross multiply
    128,880x = 195,102 × 195,102
  4. Step 4: Simplify right side
    128,880x = 38,064,790,404
  5. Step 5: Solve for x
    x = 38,064,790,404/128,880
  6. Step 6: Final answer
    x = 295,350.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.