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Finding the Third Proportional to 134,880 and 194,280

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Solution

The third proportional to 134,880 and 194,280 is: 279,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,880 : 194,280 = 194,280 : x
  2. Step 2: Convert to fraction form
    134,880/194,280 = 194,280/x
  3. Step 3: Cross multiply
    134,880x = 194,280 × 194,280
  4. Step 4: Simplify right side
    134,880x = 37,744,718,400
  5. Step 5: Solve for x
    x = 37,744,718,400/134,880
  6. Step 6: Final answer
    x = 279,839.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.