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Finding the Third Proportional to 172.76 and 368.30

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Solution

The third proportional to 172.76 and 368.30 is: 785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.76 : 368.30 = 368.30 : x
  2. Step 2: Convert to fraction form
    172.76/368.30 = 368.30/x
  3. Step 3: Cross multiply
    172.76x = 368.30 × 368.30
  4. Step 4: Simplify right side
    172.76x = 135,642.59
  5. Step 5: Solve for x
    x = 135,642.59/172.76
  6. Step 6: Final answer
    x = 785.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.