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Finding the Third Proportional to 387,540 and 834,444

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Solution

The third proportional to 387,540 and 834,444 is: 1,796,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,540 : 834,444 = 834,444 : x
  2. Step 2: Convert to fraction form
    387,540/834,444 = 834,444/x
  3. Step 3: Cross multiply
    387,540x = 834,444 × 834,444
  4. Step 4: Simplify right side
    387,540x = 696,296,789,136
  5. Step 5: Solve for x
    x = 696,296,789,136/387,540
  6. Step 6: Final answer
    x = 1,796,709.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.