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Finding the Third Proportional to 198,278 and 415,942

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Solution

The third proportional to 198,278 and 415,942 is: 872,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,278 : 415,942 = 415,942 : x
  2. Step 2: Convert to fraction form
    198,278/415,942 = 415,942/x
  3. Step 3: Cross multiply
    198,278x = 415,942 × 415,942
  4. Step 4: Simplify right side
    198,278x = 173,007,747,364
  5. Step 5: Solve for x
    x = 173,007,747,364/198,278
  6. Step 6: Final answer
    x = 872,551.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.