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Finding the Third Proportional to 198,884 and 278,070

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Solution

The third proportional to 198,884 and 278,070 is: 388,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,884 : 278,070 = 278,070 : x
  2. Step 2: Convert to fraction form
    198,884/278,070 = 278,070/x
  3. Step 3: Cross multiply
    198,884x = 278,070 × 278,070
  4. Step 4: Simplify right side
    198,884x = 77,322,924,900
  5. Step 5: Solve for x
    x = 77,322,924,900/198,884
  6. Step 6: Final answer
    x = 388,784.04

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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.