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Finding the Third Proportional to 155,801 and 338,944

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Solution

The third proportional to 155,801 and 338,944 is: 737,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,801 : 338,944 = 338,944 : x
  2. Step 2: Convert to fraction form
    155,801/338,944 = 338,944/x
  3. Step 3: Cross multiply
    155,801x = 338,944 × 338,944
  4. Step 4: Simplify right side
    155,801x = 114,883,035,136
  5. Step 5: Solve for x
    x = 114,883,035,136/155,801
  6. Step 6: Final answer
    x = 737,370.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.