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Finding the Third Proportional to 93.61 and 139.73

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Solution

The third proportional to 93.61 and 139.73 is: 208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.61 : 139.73 = 139.73 : x
  2. Step 2: Convert to fraction form
    93.61/139.73 = 139.73/x
  3. Step 3: Cross multiply
    93.61x = 139.73 × 139.73
  4. Step 4: Simplify right side
    93.61x = 19,525.70
  5. Step 5: Solve for x
    x = 19,525.70/93.61
  6. Step 6: Final answer
    x = 208.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.