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Finding the Third Proportional to 422,905.78 and 986,813.44

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Solution

The third proportional to 422,905.78 and 986,813.44 is: 2,302,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,905.78 : 986,813.44 = 986,813.44 : x
  2. Step 2: Convert to fraction form
    422,905.78/986,813.44 = 986,813.44/x
  3. Step 3: Cross multiply
    422,905.78x = 986,813.44 × 986,813.44
  4. Step 4: Simplify right side
    422,905.78x = 973,800,760,430.57
  5. Step 5: Solve for x
    x = 973,800,760,430.57/422,905.78
  6. Step 6: Final answer
    x = 2,302,642.35

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.