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Finding the Third Proportional to 198,320 and 289,173

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Solution

The third proportional to 198,320 and 289,173 is: 421,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,320 : 289,173 = 289,173 : x
  2. Step 2: Convert to fraction form
    198,320/289,173 = 289,173/x
  3. Step 3: Cross multiply
    198,320x = 289,173 × 289,173
  4. Step 4: Simplify right side
    198,320x = 83,621,023,929
  5. Step 5: Solve for x
    x = 83,621,023,929/198,320
  6. Step 6: Final answer
    x = 421,646.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.