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Finding the Third Proportional to 197,767 and 280,023

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Solution

The third proportional to 197,767 and 280,023 is: 396,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,767 : 280,023 = 280,023 : x
  2. Step 2: Convert to fraction form
    197,767/280,023 = 280,023/x
  3. Step 3: Cross multiply
    197,767x = 280,023 × 280,023
  4. Step 4: Simplify right side
    197,767x = 78,412,880,529
  5. Step 5: Solve for x
    x = 78,412,880,529/197,767
  6. Step 6: Final answer
    x = 396,491.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.