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Finding the Third Proportional to 387,472 and 834,317

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Solution

The third proportional to 387,472 and 834,317 is: 1,796,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,472 : 834,317 = 834,317 : x
  2. Step 2: Convert to fraction form
    387,472/834,317 = 834,317/x
  3. Step 3: Cross multiply
    387,472x = 834,317 × 834,317
  4. Step 4: Simplify right side
    387,472x = 696,084,856,489
  5. Step 5: Solve for x
    x = 696,084,856,489/387,472
  6. Step 6: Final answer
    x = 1,796,477.83

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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.