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Finding the Third Proportional to 274,672 and 578,864

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Solution

The third proportional to 274,672 and 578,864 is: 1,219,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,672 : 578,864 = 578,864 : x
  2. Step 2: Convert to fraction form
    274,672/578,864 = 578,864/x
  3. Step 3: Cross multiply
    274,672x = 578,864 × 578,864
  4. Step 4: Simplify right side
    274,672x = 335,083,530,496
  5. Step 5: Solve for x
    x = 335,083,530,496/274,672
  6. Step 6: Final answer
    x = 1,219,940.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.