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Finding the Third Proportional to 93,986 and 203,460

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Solution

The third proportional to 93,986 and 203,460 is: 440,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,986 : 203,460 = 203,460 : x
  2. Step 2: Convert to fraction form
    93,986/203,460 = 203,460/x
  3. Step 3: Cross multiply
    93,986x = 203,460 × 203,460
  4. Step 4: Simplify right side
    93,986x = 41,395,971,600
  5. Step 5: Solve for x
    x = 41,395,971,600/93,986
  6. Step 6: Final answer
    x = 440,448.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.