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Finding the Third Proportional to 289,922 and 408,272

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Solution

The third proportional to 289,922 and 408,272 is: 574,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,922 : 408,272 = 408,272 : x
  2. Step 2: Convert to fraction form
    289,922/408,272 = 408,272/x
  3. Step 3: Cross multiply
    289,922x = 408,272 × 408,272
  4. Step 4: Simplify right side
    289,922x = 166,686,025,984
  5. Step 5: Solve for x
    x = 166,686,025,984/289,922
  6. Step 6: Final answer
    x = 574,934.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.