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Finding the Third Proportional to 278,336 and 372,880

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Solution

The third proportional to 278,336 and 372,880 is: 499,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,336 : 372,880 = 372,880 : x
  2. Step 2: Convert to fraction form
    278,336/372,880 = 372,880/x
  3. Step 3: Cross multiply
    278,336x = 372,880 × 372,880
  4. Step 4: Simplify right side
    278,336x = 139,039,494,400
  5. Step 5: Solve for x
    x = 139,039,494,400/278,336
  6. Step 6: Final answer
    x = 499,538.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.