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Finding the Third Proportional to 290,464 and 638,204

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Solution

The third proportional to 290,464 and 638,204 is: 1,402,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,464 : 638,204 = 638,204 : x
  2. Step 2: Convert to fraction form
    290,464/638,204 = 638,204/x
  3. Step 3: Cross multiply
    290,464x = 638,204 × 638,204
  4. Step 4: Simplify right side
    290,464x = 407,304,345,616
  5. Step 5: Solve for x
    x = 407,304,345,616/290,464
  6. Step 6: Final answer
    x = 1,402,254.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.