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Finding the Third Proportional to 128,932 and 195,990

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Solution

The third proportional to 128,932 and 195,990 is: 297,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,932 : 195,990 = 195,990 : x
  2. Step 2: Convert to fraction form
    128,932/195,990 = 195,990/x
  3. Step 3: Cross multiply
    128,932x = 195,990 × 195,990
  4. Step 4: Simplify right side
    128,932x = 38,412,080,100
  5. Step 5: Solve for x
    x = 38,412,080,100/128,932
  6. Step 6: Final answer
    x = 297,925.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.