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Finding the Third Proportional to 76.50 and 172.13

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Solution

The third proportional to 76.50 and 172.13 is: 387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 172.13 = 172.13 : x
  2. Step 2: Convert to fraction form
    76.50/172.13 = 172.13/x
  3. Step 3: Cross multiply
    76.50x = 172.13 × 172.13
  4. Step 4: Simplify right side
    76.50x = 29,627.02
  5. Step 5: Solve for x
    x = 29,627.02/76.50
  6. Step 6: Final answer
    x = 387.28

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.