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Finding the Third Proportional to 378,774 and 876,960

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Solution

The third proportional to 378,774 and 876,960 is: 2,030,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,774 : 876,960 = 876,960 : x
  2. Step 2: Convert to fraction form
    378,774/876,960 = 876,960/x
  3. Step 3: Cross multiply
    378,774x = 876,960 × 876,960
  4. Step 4: Simplify right side
    378,774x = 769,058,841,600
  5. Step 5: Solve for x
    x = 769,058,841,600/378,774
  6. Step 6: Final answer
    x = 2,030,389.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.