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Finding the Third Proportional to 81,562 and 120,827

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Solution

The third proportional to 81,562 and 120,827 is: 178,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,562 : 120,827 = 120,827 : x
  2. Step 2: Convert to fraction form
    81,562/120,827 = 120,827/x
  3. Step 3: Cross multiply
    81,562x = 120,827 × 120,827
  4. Step 4: Simplify right side
    81,562x = 14,599,163,929
  5. Step 5: Solve for x
    x = 14,599,163,929/81,562
  6. Step 6: Final answer
    x = 178,994.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.