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Finding the Third Proportional to 198,780 and 308,133

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Solution

The third proportional to 198,780 and 308,133 is: 477,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,780 : 308,133 = 308,133 : x
  2. Step 2: Convert to fraction form
    198,780/308,133 = 308,133/x
  3. Step 3: Cross multiply
    198,780x = 308,133 × 308,133
  4. Step 4: Simplify right side
    198,780x = 94,945,945,689
  5. Step 5: Solve for x
    x = 94,945,945,689/198,780
  6. Step 6: Final answer
    x = 477,643.35

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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.