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Finding the Third Proportional to 163,085 and 269,912

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Solution

The third proportional to 163,085 and 269,912 is: 446,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,085 : 269,912 = 269,912 : x
  2. Step 2: Convert to fraction form
    163,085/269,912 = 269,912/x
  3. Step 3: Cross multiply
    163,085x = 269,912 × 269,912
  4. Step 4: Simplify right side
    163,085x = 72,852,487,744
  5. Step 5: Solve for x
    x = 72,852,487,744/163,085
  6. Step 6: Final answer
    x = 446,714.83

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.