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Finding the Third Proportional to 77,744 and 122,222

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Solution

The third proportional to 77,744 and 122,222 is: 192,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,744 : 122,222 = 122,222 : x
  2. Step 2: Convert to fraction form
    77,744/122,222 = 122,222/x
  3. Step 3: Cross multiply
    77,744x = 122,222 × 122,222
  4. Step 4: Simplify right side
    77,744x = 14,938,217,284
  5. Step 5: Solve for x
    x = 14,938,217,284/77,744
  6. Step 6: Final answer
    x = 192,146.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.