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Finding the Third Proportional to 195,780 and 422,664

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Solution

The third proportional to 195,780 and 422,664 is: 912,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,780 : 422,664 = 422,664 : x
  2. Step 2: Convert to fraction form
    195,780/422,664 = 422,664/x
  3. Step 3: Cross multiply
    195,780x = 422,664 × 422,664
  4. Step 4: Simplify right side
    195,780x = 178,644,856,896
  5. Step 5: Solve for x
    x = 178,644,856,896/195,780
  6. Step 6: Final answer
    x = 912,477.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.