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Finding the Third Proportional to 422,109 and 632,430

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Solution

The third proportional to 422,109 and 632,430 is: 947,546.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,109 : 632,430 = 632,430 : x
  2. Step 2: Convert to fraction form
    422,109/632,430 = 632,430/x
  3. Step 3: Cross multiply
    422,109x = 632,430 × 632,430
  4. Step 4: Simplify right side
    422,109x = 399,967,704,900
  5. Step 5: Solve for x
    x = 399,967,704,900/422,109
  6. Step 6: Final answer
    x = 947,546.02

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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.