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Finding the Third Proportional to 100,397 and 161,450

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Solution

The third proportional to 100,397 and 161,450 is: 259,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,397 : 161,450 = 161,450 : x
  2. Step 2: Convert to fraction form
    100,397/161,450 = 161,450/x
  3. Step 3: Cross multiply
    100,397x = 161,450 × 161,450
  4. Step 4: Simplify right side
    100,397x = 26,066,102,500
  5. Step 5: Solve for x
    x = 26,066,102,500/100,397
  6. Step 6: Final answer
    x = 259,630.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.