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Finding the Third Proportional to 290,541 and 629,339

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Solution

The third proportional to 290,541 and 629,339 is: 1,363,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,541 : 629,339 = 629,339 : x
  2. Step 2: Convert to fraction form
    290,541/629,339 = 629,339/x
  3. Step 3: Cross multiply
    290,541x = 629,339 × 629,339
  4. Step 4: Simplify right side
    290,541x = 396,067,576,921
  5. Step 5: Solve for x
    x = 396,067,576,921/290,541
  6. Step 6: Final answer
    x = 1,363,207.18

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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.