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Finding the Third Proportional to 164,845 and 355,970

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Solution

The third proportional to 164,845 and 355,970 is: 768,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,845 : 355,970 = 355,970 : x
  2. Step 2: Convert to fraction form
    164,845/355,970 = 355,970/x
  3. Step 3: Cross multiply
    164,845x = 355,970 × 355,970
  4. Step 4: Simplify right side
    164,845x = 126,714,640,900
  5. Step 5: Solve for x
    x = 126,714,640,900/164,845
  6. Step 6: Final answer
    x = 768,689.62

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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.