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Finding the Third Proportional to 80,636 and 127,137

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Solution

The third proportional to 80,636 and 127,137 is: 200,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,636 : 127,137 = 127,137 : x
  2. Step 2: Convert to fraction form
    80,636/127,137 = 127,137/x
  3. Step 3: Cross multiply
    80,636x = 127,137 × 127,137
  4. Step 4: Simplify right side
    80,636x = 16,163,816,769
  5. Step 5: Solve for x
    x = 16,163,816,769/80,636
  6. Step 6: Final answer
    x = 200,454.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.