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Finding the Third Proportional to 81,777 and 119,973

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Solution

The third proportional to 81,777 and 119,973 is: 176,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,777 : 119,973 = 119,973 : x
  2. Step 2: Convert to fraction form
    81,777/119,973 = 119,973/x
  3. Step 3: Cross multiply
    81,777x = 119,973 × 119,973
  4. Step 4: Simplify right side
    81,777x = 14,393,520,729
  5. Step 5: Solve for x
    x = 14,393,520,729/81,777
  6. Step 6: Final answer
    x = 176,009.40

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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.