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Finding the Third Proportional to 38,890 and 85,556

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Solution

The third proportional to 38,890 and 85,556 is: 188,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,890 : 85,556 = 85,556 : x
  2. Step 2: Convert to fraction form
    38,890/85,556 = 85,556/x
  3. Step 3: Cross multiply
    38,890x = 85,556 × 85,556
  4. Step 4: Simplify right side
    38,890x = 7,319,829,136
  5. Step 5: Solve for x
    x = 7,319,829,136/38,890
  6. Step 6: Final answer
    x = 188,218.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.