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Finding the Third Proportional to 274,535 and 641,383

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Solution

The third proportional to 274,535 and 641,383 is: 1,498,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,535 : 641,383 = 641,383 : x
  2. Step 2: Convert to fraction form
    274,535/641,383 = 641,383/x
  3. Step 3: Cross multiply
    274,535x = 641,383 × 641,383
  4. Step 4: Simplify right side
    274,535x = 411,372,152,689
  5. Step 5: Solve for x
    x = 411,372,152,689/274,535
  6. Step 6: Final answer
    x = 1,498,432.45

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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.