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Finding the Third Proportional to 128,801 and 197,026

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Solution

The third proportional to 128,801 and 197,026 is: 301,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,801 : 197,026 = 197,026 : x
  2. Step 2: Convert to fraction form
    128,801/197,026 = 197,026/x
  3. Step 3: Cross multiply
    128,801x = 197,026 × 197,026
  4. Step 4: Simplify right side
    128,801x = 38,819,244,676
  5. Step 5: Solve for x
    x = 38,819,244,676/128,801
  6. Step 6: Final answer
    x = 301,389.31

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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.