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Finding the Third Proportional to 361,968 and 779,172

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Solution

The third proportional to 361,968 and 779,172 is: 1,677,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,968 : 779,172 = 779,172 : x
  2. Step 2: Convert to fraction form
    361,968/779,172 = 779,172/x
  3. Step 3: Cross multiply
    361,968x = 779,172 × 779,172
  4. Step 4: Simplify right side
    361,968x = 607,109,005,584
  5. Step 5: Solve for x
    x = 607,109,005,584/361,968
  6. Step 6: Final answer
    x = 1,677,244.97

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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.