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Finding the Third Proportional to 131,640 and 197,556

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Solution

The third proportional to 131,640 and 197,556 is: 296,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,640 : 197,556 = 197,556 : x
  2. Step 2: Convert to fraction form
    131,640/197,556 = 197,556/x
  3. Step 3: Cross multiply
    131,640x = 197,556 × 197,556
  4. Step 4: Simplify right side
    131,640x = 39,028,373,136
  5. Step 5: Solve for x
    x = 39,028,373,136/131,640
  6. Step 6: Final answer
    x = 296,478.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.