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Finding the Third Proportional to 129,888 and 195,768

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Solution

The third proportional to 129,888 and 195,768 is: 295,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,888 : 195,768 = 195,768 : x
  2. Step 2: Convert to fraction form
    129,888/195,768 = 195,768/x
  3. Step 3: Cross multiply
    129,888x = 195,768 × 195,768
  4. Step 4: Simplify right side
    129,888x = 38,325,109,824
  5. Step 5: Solve for x
    x = 38,325,109,824/129,888
  6. Step 6: Final answer
    x = 295,062.75

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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.