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Finding the Third Proportional to 290,546 and 444,267

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Solution

The third proportional to 290,546 and 444,267 is: 679,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,546 : 444,267 = 444,267 : x
  2. Step 2: Convert to fraction form
    290,546/444,267 = 444,267/x
  3. Step 3: Cross multiply
    290,546x = 444,267 × 444,267
  4. Step 4: Simplify right side
    290,546x = 197,373,167,289
  5. Step 5: Solve for x
    x = 197,373,167,289/290,546
  6. Step 6: Final answer
    x = 679,318.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.