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Finding the Third Proportional to 135,780 and 195,570

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Solution

The third proportional to 135,780 and 195,570 is: 281,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,780 : 195,570 = 195,570 : x
  2. Step 2: Convert to fraction form
    135,780/195,570 = 195,570/x
  3. Step 3: Cross multiply
    135,780x = 195,570 × 195,570
  4. Step 4: Simplify right side
    135,780x = 38,247,624,900
  5. Step 5: Solve for x
    x = 38,247,624,900/135,780
  6. Step 6: Final answer
    x = 281,688.21

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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.