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Finding the Third Proportional to 361,358 and 778,225

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Solution

The third proportional to 361,358 and 778,225 is: 1,675,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,358 : 778,225 = 778,225 : x
  2. Step 2: Convert to fraction form
    361,358/778,225 = 778,225/x
  3. Step 3: Cross multiply
    361,358x = 778,225 × 778,225
  4. Step 4: Simplify right side
    361,358x = 605,634,150,625
  5. Step 5: Solve for x
    x = 605,634,150,625/361,358
  6. Step 6: Final answer
    x = 1,675,994.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.