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Finding the Third Proportional to 39,889 and 81,086

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Solution

The third proportional to 39,889 and 81,086 is: 164,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,889 : 81,086 = 81,086 : x
  2. Step 2: Convert to fraction form
    39,889/81,086 = 81,086/x
  3. Step 3: Cross multiply
    39,889x = 81,086 × 81,086
  4. Step 4: Simplify right side
    39,889x = 6,574,939,396
  5. Step 5: Solve for x
    x = 6,574,939,396/39,889
  6. Step 6: Final answer
    x = 164,830.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.