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Finding the Third Proportional to 198,288 and 307,800

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Solution

The third proportional to 198,288 and 307,800 is: 477,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,288 : 307,800 = 307,800 : x
  2. Step 2: Convert to fraction form
    198,288/307,800 = 307,800/x
  3. Step 3: Cross multiply
    198,288x = 307,800 × 307,800
  4. Step 4: Simplify right side
    198,288x = 94,740,840,000
  5. Step 5: Solve for x
    x = 94,740,840,000/198,288
  6. Step 6: Final answer
    x = 477,794.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.