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Finding the Third Proportional to 274,610 and 641,565

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Solution

The third proportional to 274,610 and 641,565 is: 1,498,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,610 : 641,565 = 641,565 : x
  2. Step 2: Convert to fraction form
    274,610/641,565 = 641,565/x
  3. Step 3: Cross multiply
    274,610x = 641,565 × 641,565
  4. Step 4: Simplify right side
    274,610x = 411,605,649,225
  5. Step 5: Solve for x
    x = 411,605,649,225/274,610
  6. Step 6: Final answer
    x = 1,498,873.49

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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.