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Finding the Third Proportional to 128,530 and 197,799

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Solution

The third proportional to 128,530 and 197,799 is: 304,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,530 : 197,799 = 197,799 : x
  2. Step 2: Convert to fraction form
    128,530/197,799 = 197,799/x
  3. Step 3: Cross multiply
    128,530x = 197,799 × 197,799
  4. Step 4: Simplify right side
    128,530x = 39,124,444,401
  5. Step 5: Solve for x
    x = 39,124,444,401/128,530
  6. Step 6: Final answer
    x = 304,399.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.