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Finding the Third Proportional to 422,159 and 861,544

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Solution

The third proportional to 422,159 and 861,544 is: 1,758,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,159 : 861,544 = 861,544 : x
  2. Step 2: Convert to fraction form
    422,159/861,544 = 861,544/x
  3. Step 3: Cross multiply
    422,159x = 861,544 × 861,544
  4. Step 4: Simplify right side
    422,159x = 742,258,063,936
  5. Step 5: Solve for x
    x = 742,258,063,936/422,159
  6. Step 6: Final answer
    x = 1,758,242.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.