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Finding the Third Proportional to 77,886 and 122,019

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Solution

The third proportional to 77,886 and 122,019 is: 191,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,886 : 122,019 = 122,019 : x
  2. Step 2: Convert to fraction form
    77,886/122,019 = 122,019/x
  3. Step 3: Cross multiply
    77,886x = 122,019 × 122,019
  4. Step 4: Simplify right side
    77,886x = 14,888,636,361
  5. Step 5: Solve for x
    x = 14,888,636,361/77,886
  6. Step 6: Final answer
    x = 191,159.34

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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.