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Finding the Third Proportional to 198,780 and 301,329

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Solution

The third proportional to 198,780 and 301,329 is: 456,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,780 : 301,329 = 301,329 : x
  2. Step 2: Convert to fraction form
    198,780/301,329 = 301,329/x
  3. Step 3: Cross multiply
    198,780x = 301,329 × 301,329
  4. Step 4: Simplify right side
    198,780x = 90,799,166,241
  5. Step 5: Solve for x
    x = 90,799,166,241/198,780
  6. Step 6: Final answer
    x = 456,782.20

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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.