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Finding the Third Proportional to 198,880 and 278,064

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Solution

The third proportional to 198,880 and 278,064 is: 388,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,880 : 278,064 = 278,064 : x
  2. Step 2: Convert to fraction form
    198,880/278,064 = 278,064/x
  3. Step 3: Cross multiply
    198,880x = 278,064 × 278,064
  4. Step 4: Simplify right side
    198,880x = 77,319,588,096
  5. Step 5: Solve for x
    x = 77,319,588,096/198,880
  6. Step 6: Final answer
    x = 388,775.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.