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Finding the Third Proportional to 172.44 and 405.63

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Solution

The third proportional to 172.44 and 405.63 is: 954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.44 : 405.63 = 405.63 : x
  2. Step 2: Convert to fraction form
    172.44/405.63 = 405.63/x
  3. Step 3: Cross multiply
    172.44x = 405.63 × 405.63
  4. Step 4: Simplify right side
    172.44x = 164,537.98
  5. Step 5: Solve for x
    x = 164,537.98/172.44
  6. Step 6: Final answer
    x = 954.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.