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Finding the Third Proportional to 81,870 and 122,299

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Solution

The third proportional to 81,870 and 122,299 is: 182,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870 : 122,299 = 122,299 : x
  2. Step 2: Convert to fraction form
    81,870/122,299 = 122,299/x
  3. Step 3: Cross multiply
    81,870x = 122,299 × 122,299
  4. Step 4: Simplify right side
    81,870x = 14,957,045,401
  5. Step 5: Solve for x
    x = 14,957,045,401/81,870
  6. Step 6: Final answer
    x = 182,692.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.