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Finding the Third Proportional to 128,600 and 199,104

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Solution

The third proportional to 128,600 and 199,104 is: 308,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,600 : 199,104 = 199,104 : x
  2. Step 2: Convert to fraction form
    128,600/199,104 = 199,104/x
  3. Step 3: Cross multiply
    128,600x = 199,104 × 199,104
  4. Step 4: Simplify right side
    128,600x = 39,642,402,816
  5. Step 5: Solve for x
    x = 39,642,402,816/128,600
  6. Step 6: Final answer
    x = 308,261.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.