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Finding the Third Proportional to 93,546 and 200,250

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Solution

The third proportional to 93,546 and 200,250 is: 428,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,546 : 200,250 = 200,250 : x
  2. Step 2: Convert to fraction form
    93,546/200,250 = 200,250/x
  3. Step 3: Cross multiply
    93,546x = 200,250 × 200,250
  4. Step 4: Simplify right side
    93,546x = 40,100,062,500
  5. Step 5: Solve for x
    x = 40,100,062,500/93,546
  6. Step 6: Final answer
    x = 428,666.78

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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.