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Finding the Third Proportional to 382,454 and 840,403

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Solution

The third proportional to 382,454 and 840,403 is: 1,846,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,454 : 840,403 = 840,403 : x
  2. Step 2: Convert to fraction form
    382,454/840,403 = 840,403/x
  3. Step 3: Cross multiply
    382,454x = 840,403 × 840,403
  4. Step 4: Simplify right side
    382,454x = 706,277,202,409
  5. Step 5: Solve for x
    x = 706,277,202,409/382,454
  6. Step 6: Final answer
    x = 1,846,698.43

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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.