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Finding the Third Proportional to 93.19 and 129.28

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Solution

The third proportional to 93.19 and 129.28 is: 179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.19 : 129.28 = 129.28 : x
  2. Step 2: Convert to fraction form
    93.19/129.28 = 129.28/x
  3. Step 3: Cross multiply
    93.19x = 129.28 × 129.28
  4. Step 4: Simplify right side
    93.19x = 16,713.64
  5. Step 5: Solve for x
    x = 16,713.64/93.19
  6. Step 6: Final answer
    x = 179.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.