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Finding the Third Proportional to 195,772 and 422,648

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Solution

The third proportional to 195,772 and 422,648 is: 912,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,772 : 422,648 = 422,648 : x
  2. Step 2: Convert to fraction form
    195,772/422,648 = 422,648/x
  3. Step 3: Cross multiply
    195,772x = 422,648 × 422,648
  4. Step 4: Simplify right side
    195,772x = 178,631,331,904
  5. Step 5: Solve for x
    x = 178,631,331,904/195,772
  6. Step 6: Final answer
    x = 912,445.76

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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.