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Finding the Third Proportional to 128,034 and 197,825

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Solution

The third proportional to 128,034 and 197,825 is: 305,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,034 : 197,825 = 197,825 : x
  2. Step 2: Convert to fraction form
    128,034/197,825 = 197,825/x
  3. Step 3: Cross multiply
    128,034x = 197,825 × 197,825
  4. Step 4: Simplify right side
    128,034x = 39,134,730,625
  5. Step 5: Solve for x
    x = 39,134,730,625/128,034
  6. Step 6: Final answer
    x = 305,658.89

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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.