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Finding the Third Proportional to 438,640 and 911,744

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Solution

The third proportional to 438,640 and 911,744 is: 1,895,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,640 : 911,744 = 911,744 : x
  2. Step 2: Convert to fraction form
    438,640/911,744 = 911,744/x
  3. Step 3: Cross multiply
    438,640x = 911,744 × 911,744
  4. Step 4: Simplify right side
    438,640x = 831,277,121,536
  5. Step 5: Solve for x
    x = 831,277,121,536/438,640
  6. Step 6: Final answer
    x = 1,895,123.84

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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.