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Finding the Third Proportional to 278,792 and 603,664

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Solution

The third proportional to 278,792 and 603,664 is: 1,307,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,792 : 603,664 = 603,664 : x
  2. Step 2: Convert to fraction form
    278,792/603,664 = 603,664/x
  3. Step 3: Cross multiply
    278,792x = 603,664 × 603,664
  4. Step 4: Simplify right side
    278,792x = 364,410,224,896
  5. Step 5: Solve for x
    x = 364,410,224,896/278,792
  6. Step 6: Final answer
    x = 1,307,104.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.