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Finding the Third Proportional to 81,764 and 119,954

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Solution

The third proportional to 81,764 and 119,954 is: 175,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,764 : 119,954 = 119,954 : x
  2. Step 2: Convert to fraction form
    81,764/119,954 = 119,954/x
  3. Step 3: Cross multiply
    81,764x = 119,954 × 119,954
  4. Step 4: Simplify right side
    81,764x = 14,388,962,116
  5. Step 5: Solve for x
    x = 14,388,962,116/81,764
  6. Step 6: Final answer
    x = 175,981.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.