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Finding the Third Proportional to 422,482 and 911,322

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Solution

The third proportional to 422,482 and 911,322 is: 1,965,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,482 : 911,322 = 911,322 : x
  2. Step 2: Convert to fraction form
    422,482/911,322 = 911,322/x
  3. Step 3: Cross multiply
    422,482x = 911,322 × 911,322
  4. Step 4: Simplify right side
    422,482x = 830,507,787,684
  5. Step 5: Solve for x
    x = 830,507,787,684/422,482
  6. Step 6: Final answer
    x = 1,965,782.66

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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.