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Finding the Third Proportional to 38,348 and 78,556

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Solution

The third proportional to 38,348 and 78,556 is: 160,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348 : 78,556 = 78,556 : x
  2. Step 2: Convert to fraction form
    38,348/78,556 = 78,556/x
  3. Step 3: Cross multiply
    38,348x = 78,556 × 78,556
  4. Step 4: Simplify right side
    38,348x = 6,171,045,136
  5. Step 5: Solve for x
    x = 6,171,045,136/38,348
  6. Step 6: Final answer
    x = 160,922.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.