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Finding the Third Proportional to 422,115 and 632,439

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Solution

The third proportional to 422,115 and 632,439 is: 947,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,115 : 632,439 = 632,439 : x
  2. Step 2: Convert to fraction form
    422,115/632,439 = 632,439/x
  3. Step 3: Cross multiply
    422,115x = 632,439 × 632,439
  4. Step 4: Simplify right side
    422,115x = 399,979,088,721
  5. Step 5: Solve for x
    x = 399,979,088,721/422,115
  6. Step 6: Final answer
    x = 947,559.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.