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Finding the Third Proportional to 155,838 and 336,584

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Solution

The third proportional to 155,838 and 336,584 is: 726,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,838 : 336,584 = 336,584 : x
  2. Step 2: Convert to fraction form
    155,838/336,584 = 336,584/x
  3. Step 3: Cross multiply
    155,838x = 336,584 × 336,584
  4. Step 4: Simplify right side
    155,838x = 113,288,789,056
  5. Step 5: Solve for x
    x = 113,288,789,056/155,838
  6. Step 6: Final answer
    x = 726,965.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.