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Finding the Third Proportional to 175.69 and 380.13

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Solution

The third proportional to 175.69 and 380.13 is: 822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.69 : 380.13 = 380.13 : x
  2. Step 2: Convert to fraction form
    175.69/380.13 = 380.13/x
  3. Step 3: Cross multiply
    175.69x = 380.13 × 380.13
  4. Step 4: Simplify right side
    175.69x = 144,495.02
  5. Step 5: Solve for x
    x = 144,495.02/175.69
  6. Step 6: Final answer
    x = 822.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.