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Finding the Third Proportional to 280,032 and 422,073

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Solution

The third proportional to 280,032 and 422,073 is: 636,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,032 : 422,073 = 422,073 : x
  2. Step 2: Convert to fraction form
    280,032/422,073 = 422,073/x
  3. Step 3: Cross multiply
    280,032x = 422,073 × 422,073
  4. Step 4: Simplify right side
    280,032x = 178,145,617,329
  5. Step 5: Solve for x
    x = 178,145,617,329/280,032
  6. Step 6: Final answer
    x = 636,161.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.