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Finding the Third Proportional to 198,896 and 278,088

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Solution

The third proportional to 198,896 and 278,088 is: 388,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,896 : 278,088 = 278,088 : x
  2. Step 2: Convert to fraction form
    198,896/278,088 = 278,088/x
  3. Step 3: Cross multiply
    198,896x = 278,088 × 278,088
  4. Step 4: Simplify right side
    198,896x = 77,332,935,744
  5. Step 5: Solve for x
    x = 77,332,935,744/198,896
  6. Step 6: Final answer
    x = 388,810.91

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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.