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Finding the Third Proportional to 172.13 and 361.88

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Solution

The third proportional to 172.13 and 361.88 is: 760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 361.88 = 361.88 : x
  2. Step 2: Convert to fraction form
    172.13/361.88 = 361.88/x
  3. Step 3: Cross multiply
    172.13x = 361.88 × 361.88
  4. Step 4: Simplify right side
    172.13x = 130,953.52
  5. Step 5: Solve for x
    x = 130,953.52/172.13
  6. Step 6: Final answer
    x = 760.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.