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Finding the Third Proportional to 129,400 and 197,556

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Solution

The third proportional to 129,400 and 197,556 is: 301,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,400 : 197,556 = 197,556 : x
  2. Step 2: Convert to fraction form
    129,400/197,556 = 197,556/x
  3. Step 3: Cross multiply
    129,400x = 197,556 × 197,556
  4. Step 4: Simplify right side
    129,400x = 39,028,373,136
  5. Step 5: Solve for x
    x = 39,028,373,136/129,400
  6. Step 6: Final answer
    x = 301,610.30

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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.