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Finding the Third Proportional to 105,722 and 144,975

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Solution

The third proportional to 105,722 and 144,975 is: 198,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,722 : 144,975 = 144,975 : x
  2. Step 2: Convert to fraction form
    105,722/144,975 = 144,975/x
  3. Step 3: Cross multiply
    105,722x = 144,975 × 144,975
  4. Step 4: Simplify right side
    105,722x = 21,017,750,625
  5. Step 5: Solve for x
    x = 21,017,750,625/105,722
  6. Step 6: Final answer
    x = 198,802.05

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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.