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Finding the Third Proportional to 290,546 and 629,347

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Solution

The third proportional to 290,546 and 629,347 is: 1,363,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,546 : 629,347 = 629,347 : x
  2. Step 2: Convert to fraction form
    290,546/629,347 = 629,347/x
  3. Step 3: Cross multiply
    290,546x = 629,347 × 629,347
  4. Step 4: Simplify right side
    290,546x = 396,077,646,409
  5. Step 5: Solve for x
    x = 396,077,646,409/290,546
  6. Step 6: Final answer
    x = 1,363,218.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.