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Finding the Third Proportional to 380,904 and 779,280

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Solution

The third proportional to 380,904 and 779,280 is: 1,594,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,904 : 779,280 = 779,280 : x
  2. Step 2: Convert to fraction form
    380,904/779,280 = 779,280/x
  3. Step 3: Cross multiply
    380,904x = 779,280 × 779,280
  4. Step 4: Simplify right side
    380,904x = 607,277,318,400
  5. Step 5: Solve for x
    x = 607,277,318,400/380,904
  6. Step 6: Final answer
    x = 1,594,305.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.