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Finding the Third Proportional to 80,682 and 118,431

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Solution

The third proportional to 80,682 and 118,431 is: 173,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,682 : 118,431 = 118,431 : x
  2. Step 2: Convert to fraction form
    80,682/118,431 = 118,431/x
  3. Step 3: Cross multiply
    80,682x = 118,431 × 118,431
  4. Step 4: Simplify right side
    80,682x = 14,025,901,761
  5. Step 5: Solve for x
    x = 14,025,901,761/80,682
  6. Step 6: Final answer
    x = 173,841.77

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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.