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Finding the Third Proportional to 76,640 and 162,556

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Solution

The third proportional to 76,640 and 162,556 is: 344,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,640 : 162,556 = 162,556 : x
  2. Step 2: Convert to fraction form
    76,640/162,556 = 162,556/x
  3. Step 3: Cross multiply
    76,640x = 162,556 × 162,556
  4. Step 4: Simplify right side
    76,640x = 26,424,453,136
  5. Step 5: Solve for x
    x = 26,424,453,136/76,640
  6. Step 6: Final answer
    x = 344,786.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.