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Finding the Third Proportional to 74.19 and 172.06

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Solution

The third proportional to 74.19 and 172.06 is: 399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.19 : 172.06 = 172.06 : x
  2. Step 2: Convert to fraction form
    74.19/172.06 = 172.06/x
  3. Step 3: Cross multiply
    74.19x = 172.06 × 172.06
  4. Step 4: Simplify right side
    74.19x = 29,605.50
  5. Step 5: Solve for x
    x = 29,605.50/74.19
  6. Step 6: Final answer
    x = 399.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.