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Finding the Third Proportional to 61,930 and 86,171

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Solution

The third proportional to 61,930 and 86,171 is: 119,900.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,930 : 86,171 = 86,171 : x
  2. Step 2: Convert to fraction form
    61,930/86,171 = 86,171/x
  3. Step 3: Cross multiply
    61,930x = 86,171 × 86,171
  4. Step 4: Simplify right side
    61,930x = 7,425,441,241
  5. Step 5: Solve for x
    x = 7,425,441,241/61,930
  6. Step 6: Final answer
    x = 119,900.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.