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Finding the Third Proportional to 382,464 and 840,416

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Solution

The third proportional to 382,464 and 840,416 is: 1,846,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,464 : 840,416 = 840,416 : x
  2. Step 2: Convert to fraction form
    382,464/840,416 = 840,416/x
  3. Step 3: Cross multiply
    382,464x = 840,416 × 840,416
  4. Step 4: Simplify right side
    382,464x = 706,299,053,056
  5. Step 5: Solve for x
    x = 706,299,053,056/382,464
  6. Step 6: Final answer
    x = 1,846,707.28

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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.