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Finding the Third Proportional to 80,898 and 120,723

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Solution

The third proportional to 80,898 and 120,723 is: 180,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,898 : 120,723 = 120,723 : x
  2. Step 2: Convert to fraction form
    80,898/120,723 = 120,723/x
  3. Step 3: Cross multiply
    80,898x = 120,723 × 120,723
  4. Step 4: Simplify right side
    80,898x = 14,574,042,729
  5. Step 5: Solve for x
    x = 14,574,042,729/80,898
  6. Step 6: Final answer
    x = 180,153.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.