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Finding the Third Proportional to 361,144 and 777,788

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Solution

The third proportional to 361,144 and 777,788 is: 1,675,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,144 : 777,788 = 777,788 : x
  2. Step 2: Convert to fraction form
    361,144/777,788 = 777,788/x
  3. Step 3: Cross multiply
    361,144x = 777,788 × 777,788
  4. Step 4: Simplify right side
    361,144x = 604,954,172,944
  5. Step 5: Solve for x
    x = 604,954,172,944/361,144
  6. Step 6: Final answer
    x = 1,675,105.15

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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.