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Finding the Third Proportional to 438,424 and 911,296

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Solution

The third proportional to 438,424 and 911,296 is: 1,894,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,424 : 911,296 = 911,296 : x
  2. Step 2: Convert to fraction form
    438,424/911,296 = 911,296/x
  3. Step 3: Cross multiply
    438,424x = 911,296 × 911,296
  4. Step 4: Simplify right side
    438,424x = 830,460,399,616
  5. Step 5: Solve for x
    x = 830,460,399,616/438,424
  6. Step 6: Final answer
    x = 1,894,194.66

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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.