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Finding the Third Proportional to 172.13 and 264.94

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Solution

The third proportional to 172.13 and 264.94 is: 407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 264.94 = 264.94 : x
  2. Step 2: Convert to fraction form
    172.13/264.94 = 264.94/x
  3. Step 3: Cross multiply
    172.13x = 264.94 × 264.94
  4. Step 4: Simplify right side
    172.13x = 70,191.88
  5. Step 5: Solve for x
    x = 70,191.88/172.13
  6. Step 6: Final answer
    x = 407.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.