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Finding the Third Proportional to 80,942 and 122,871

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Solution

The third proportional to 80,942 and 122,871 is: 186,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,942 : 122,871 = 122,871 : x
  2. Step 2: Convert to fraction form
    80,942/122,871 = 122,871/x
  3. Step 3: Cross multiply
    80,942x = 122,871 × 122,871
  4. Step 4: Simplify right side
    80,942x = 15,097,282,641
  5. Step 5: Solve for x
    x = 15,097,282,641/80,942
  6. Step 6: Final answer
    x = 186,519.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.