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Finding the Third Proportional to 422,922 and 887,364

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Solution

The third proportional to 422,922 and 887,364 is: 1,861,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,922 : 887,364 = 887,364 : x
  2. Step 2: Convert to fraction form
    422,922/887,364 = 887,364/x
  3. Step 3: Cross multiply
    422,922x = 887,364 × 887,364
  4. Step 4: Simplify right side
    422,922x = 787,414,868,496
  5. Step 5: Solve for x
    x = 787,414,868,496/422,922
  6. Step 6: Final answer
    x = 1,861,844.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.