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Finding the Third Proportional to 245,869 and 379,722

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Solution

The third proportional to 245,869 and 379,722 is: 586,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,869 : 379,722 = 379,722 : x
  2. Step 2: Convert to fraction form
    245,869/379,722 = 379,722/x
  3. Step 3: Cross multiply
    245,869x = 379,722 × 379,722
  4. Step 4: Simplify right side
    245,869x = 144,188,797,284
  5. Step 5: Solve for x
    x = 144,188,797,284/245,869
  6. Step 6: Final answer
    x = 586,445.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.