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Finding the Third Proportional to 39,556 and 86,890

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Solution

The third proportional to 39,556 and 86,890 is: 190,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,556 : 86,890 = 86,890 : x
  2. Step 2: Convert to fraction form
    39,556/86,890 = 86,890/x
  3. Step 3: Cross multiply
    39,556x = 86,890 × 86,890
  4. Step 4: Simplify right side
    39,556x = 7,549,872,100
  5. Step 5: Solve for x
    x = 7,549,872,100/39,556
  6. Step 6: Final answer
    x = 190,865.41

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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.