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Finding the Third Proportional to 382,460 and 840,418

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Solution

The third proportional to 382,460 and 840,418 is: 1,846,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,460 : 840,418 = 840,418 : x
  2. Step 2: Convert to fraction form
    382,460/840,418 = 840,418/x
  3. Step 3: Cross multiply
    382,460x = 840,418 × 840,418
  4. Step 4: Simplify right side
    382,460x = 706,302,414,724
  5. Step 5: Solve for x
    x = 706,302,414,724/382,460
  6. Step 6: Final answer
    x = 1,846,735.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.