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Finding the Third Proportional to 274,531 and 641,373

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Solution

The third proportional to 274,531 and 641,373 is: 1,498,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,531 : 641,373 = 641,373 : x
  2. Step 2: Convert to fraction form
    274,531/641,373 = 641,373/x
  3. Step 3: Cross multiply
    274,531x = 641,373 × 641,373
  4. Step 4: Simplify right side
    274,531x = 411,359,325,129
  5. Step 5: Solve for x
    x = 411,359,325,129/274,531
  6. Step 6: Final answer
    x = 1,498,407.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.