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Finding the Third Proportional to 198,786 and 301,338

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Solution

The third proportional to 198,786 and 301,338 is: 456,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,786 : 301,338 = 301,338 : x
  2. Step 2: Convert to fraction form
    198,786/301,338 = 301,338/x
  3. Step 3: Cross multiply
    198,786x = 301,338 × 301,338
  4. Step 4: Simplify right side
    198,786x = 90,804,590,244
  5. Step 5: Solve for x
    x = 90,804,590,244/198,786
  6. Step 6: Final answer
    x = 456,795.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.