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Finding the Third Proportional to 198,786 and 308,139

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Solution

The third proportional to 198,786 and 308,139 is: 477,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,786 : 308,139 = 308,139 : x
  2. Step 2: Convert to fraction form
    198,786/308,139 = 308,139/x
  3. Step 3: Cross multiply
    198,786x = 308,139 × 308,139
  4. Step 4: Simplify right side
    198,786x = 94,949,643,321
  5. Step 5: Solve for x
    x = 94,949,643,321/198,786
  6. Step 6: Final answer
    x = 477,647.54

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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.