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Finding the Third Proportional to 77,888 and 122,023

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Solution

The third proportional to 77,888 and 122,023 is: 191,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,888 : 122,023 = 122,023 : x
  2. Step 2: Convert to fraction form
    77,888/122,023 = 122,023/x
  3. Step 3: Cross multiply
    77,888x = 122,023 × 122,023
  4. Step 4: Simplify right side
    77,888x = 14,889,612,529
  5. Step 5: Solve for x
    x = 14,889,612,529/77,888
  6. Step 6: Final answer
    x = 191,166.96

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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.