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Finding the Third Proportional to 438,744 and 911,976

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Solution

The third proportional to 438,744 and 911,976 is: 1,895,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,744 : 911,976 = 911,976 : x
  2. Step 2: Convert to fraction form
    438,744/911,976 = 911,976/x
  3. Step 3: Cross multiply
    438,744x = 911,976 × 911,976
  4. Step 4: Simplify right side
    438,744x = 831,700,224,576
  5. Step 5: Solve for x
    x = 831,700,224,576/438,744
  6. Step 6: Final answer
    x = 1,895,638.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.