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Finding the Third Proportional to 100,362 and 137,621

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Solution

The third proportional to 100,362 and 137,621 is: 188,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,362 : 137,621 = 137,621 : x
  2. Step 2: Convert to fraction form
    100,362/137,621 = 137,621/x
  3. Step 3: Cross multiply
    100,362x = 137,621 × 137,621
  4. Step 4: Simplify right side
    100,362x = 18,939,539,641
  5. Step 5: Solve for x
    x = 18,939,539,641/100,362
  6. Step 6: Final answer
    x = 188,712.26

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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.