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Finding the Third Proportional to 135,720 and 195,480

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Solution

The third proportional to 135,720 and 195,480 is: 281,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,720 : 195,480 = 195,480 : x
  2. Step 2: Convert to fraction form
    135,720/195,480 = 195,480/x
  3. Step 3: Cross multiply
    135,720x = 195,480 × 195,480
  4. Step 4: Simplify right side
    135,720x = 38,212,430,400
  5. Step 5: Solve for x
    x = 38,212,430,400/135,720
  6. Step 6: Final answer
    x = 281,553.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.