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Finding the Third Proportional to 172.13 and 284.25

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Solution

The third proportional to 172.13 and 284.25 is: 469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 284.25 = 284.25 : x
  2. Step 2: Convert to fraction form
    172.13/284.25 = 284.25/x
  3. Step 3: Cross multiply
    172.13x = 284.25 × 284.25
  4. Step 4: Simplify right side
    172.13x = 80,798.06
  5. Step 5: Solve for x
    x = 80,798.06/172.13
  6. Step 6: Final answer
    x = 469.42

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.