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Finding the Third Proportional to 128,932 and 197,104

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Solution

The third proportional to 128,932 and 197,104 is: 301,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,932 : 197,104 = 197,104 : x
  2. Step 2: Convert to fraction form
    128,932/197,104 = 197,104/x
  3. Step 3: Cross multiply
    128,932x = 197,104 × 197,104
  4. Step 4: Simplify right side
    128,932x = 38,849,986,816
  5. Step 5: Solve for x
    x = 38,849,986,816/128,932
  6. Step 6: Final answer
    x = 301,321.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.