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Finding the Third Proportional to 289,636 and 440,384

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Solution

The third proportional to 289,636 and 440,384 is: 669,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,636 : 440,384 = 440,384 : x
  2. Step 2: Convert to fraction form
    289,636/440,384 = 440,384/x
  3. Step 3: Cross multiply
    289,636x = 440,384 × 440,384
  4. Step 4: Simplify right side
    289,636x = 193,938,067,456
  5. Step 5: Solve for x
    x = 193,938,067,456/289,636
  6. Step 6: Final answer
    x = 669,592.41

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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.