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Finding the Third Proportional to 136,809 and 197,964

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Solution

The third proportional to 136,809 and 197,964 is: 286,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,809 : 197,964 = 197,964 : x
  2. Step 2: Convert to fraction form
    136,809/197,964 = 197,964/x
  3. Step 3: Cross multiply
    136,809x = 197,964 × 197,964
  4. Step 4: Simplify right side
    136,809x = 39,189,745,296
  5. Step 5: Solve for x
    x = 39,189,745,296/136,809
  6. Step 6: Final answer
    x = 286,455.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.