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Finding the Third Proportional to 93.63 and 200.13

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Solution

The third proportional to 93.63 and 200.13 is: 427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.63 : 200.13 = 200.13 : x
  2. Step 2: Convert to fraction form
    93.63/200.13 = 200.13/x
  3. Step 3: Cross multiply
    93.63x = 200.13 × 200.13
  4. Step 4: Simplify right side
    93.63x = 40,050.02
  5. Step 5: Solve for x
    x = 40,050.02/93.63
  6. Step 6: Final answer
    x = 427.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.