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Finding the Third Proportional to 80,016 and 116,732

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Solution

The third proportional to 80,016 and 116,732 is: 170,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,016 : 116,732 = 116,732 : x
  2. Step 2: Convert to fraction form
    80,016/116,732 = 116,732/x
  3. Step 3: Cross multiply
    80,016x = 116,732 × 116,732
  4. Step 4: Simplify right side
    80,016x = 13,626,359,824
  5. Step 5: Solve for x
    x = 13,626,359,824/80,016
  6. Step 6: Final answer
    x = 170,295.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.