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Finding the Third Proportional to 100,420 and 137,696

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Solution

The third proportional to 100,420 and 137,696 is: 188,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420 : 137,696 = 137,696 : x
  2. Step 2: Convert to fraction form
    100,420/137,696 = 137,696/x
  3. Step 3: Cross multiply
    100,420x = 137,696 × 137,696
  4. Step 4: Simplify right side
    100,420x = 18,960,188,416
  5. Step 5: Solve for x
    x = 18,960,188,416/100,420
  6. Step 6: Final answer
    x = 188,808.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.