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Finding the Third Proportional to 93.63 and 118.50

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Solution

The third proportional to 93.63 and 118.50 is: 149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.63 : 118.50 = 118.50 : x
  2. Step 2: Convert to fraction form
    93.63/118.50 = 118.50/x
  3. Step 3: Cross multiply
    93.63x = 118.50 × 118.50
  4. Step 4: Simplify right side
    93.63x = 14,042.25
  5. Step 5: Solve for x
    x = 14,042.25/93.63
  6. Step 6: Final answer
    x = 149.98

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.