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Finding the Third Proportional to 276,880 and 420,792

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Solution

The third proportional to 276,880 and 420,792 is: 639,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,880 : 420,792 = 420,792 : x
  2. Step 2: Convert to fraction form
    276,880/420,792 = 420,792/x
  3. Step 3: Cross multiply
    276,880x = 420,792 × 420,792
  4. Step 4: Simplify right side
    276,880x = 177,065,907,264
  5. Step 5: Solve for x
    x = 177,065,907,264/276,880
  6. Step 6: Final answer
    x = 639,504.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.