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Finding the Third Proportional to 128,961 and 197,145

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Solution

The third proportional to 128,961 and 197,145 is: 301,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,961 : 197,145 = 197,145 : x
  2. Step 2: Convert to fraction form
    128,961/197,145 = 197,145/x
  3. Step 3: Cross multiply
    128,961x = 197,145 × 197,145
  4. Step 4: Simplify right side
    128,961x = 38,866,151,025
  5. Step 5: Solve for x
    x = 38,866,151,025/128,961
  6. Step 6: Final answer
    x = 301,379.11

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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.