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Finding the Third Proportional to 77,886 and 122,020

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Solution

The third proportional to 77,886 and 122,020 is: 191,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,886 : 122,020 = 122,020 : x
  2. Step 2: Convert to fraction form
    77,886/122,020 = 122,020/x
  3. Step 3: Cross multiply
    77,886x = 122,020 × 122,020
  4. Step 4: Simplify right side
    77,886x = 14,888,880,400
  5. Step 5: Solve for x
    x = 14,888,880,400/77,886
  6. Step 6: Final answer
    x = 191,162.47

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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.