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Finding the Third Proportional to 422,099 and 887,938

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Solution

The third proportional to 422,099 and 887,938 is: 1,867,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,099 : 887,938 = 887,938 : x
  2. Step 2: Convert to fraction form
    422,099/887,938 = 887,938/x
  3. Step 3: Cross multiply
    422,099x = 887,938 × 887,938
  4. Step 4: Simplify right side
    422,099x = 788,433,891,844
  5. Step 5: Solve for x
    x = 788,433,891,844/422,099
  6. Step 6: Final answer
    x = 1,867,888.56

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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.