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Finding the Third Proportional to 93.98 and 200.91

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Solution

The third proportional to 93.98 and 200.91 is: 429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.98 : 200.91 = 200.91 : x
  2. Step 2: Convert to fraction form
    93.98/200.91 = 200.91/x
  3. Step 3: Cross multiply
    93.98x = 200.91 × 200.91
  4. Step 4: Simplify right side
    93.98x = 40,363.32
  5. Step 5: Solve for x
    x = 40,363.32/93.98
  6. Step 6: Final answer
    x = 429.47

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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.