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Finding the Third Proportional to 197,394 and 402,116

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Solution

The third proportional to 197,394 and 402,116 is: 819,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,394 : 402,116 = 402,116 : x
  2. Step 2: Convert to fraction form
    197,394/402,116 = 402,116/x
  3. Step 3: Cross multiply
    197,394x = 402,116 × 402,116
  4. Step 4: Simplify right side
    197,394x = 161,697,277,456
  5. Step 5: Solve for x
    x = 161,697,277,456/197,394
  6. Step 6: Final answer
    x = 819,160.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.