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Finding the Third Proportional to 229,640 and 434,128

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Solution

The third proportional to 229,640 and 434,128 is: 820,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,640 : 434,128 = 434,128 : x
  2. Step 2: Convert to fraction form
    229,640/434,128 = 434,128/x
  3. Step 3: Cross multiply
    229,640x = 434,128 × 434,128
  4. Step 4: Simplify right side
    229,640x = 188,467,120,384
  5. Step 5: Solve for x
    x = 188,467,120,384/229,640
  6. Step 6: Final answer
    x = 820,706.85

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.