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Finding the Third Proportional to 77,056 and 122,266

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Solution

The third proportional to 77,056 and 122,266 is: 194,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,056 : 122,266 = 122,266 : x
  2. Step 2: Convert to fraction form
    77,056/122,266 = 122,266/x
  3. Step 3: Cross multiply
    77,056x = 122,266 × 122,266
  4. Step 4: Simplify right side
    77,056x = 14,948,974,756
  5. Step 5: Solve for x
    x = 14,948,974,756/77,056
  6. Step 6: Final answer
    x = 194,001.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.