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Finding the Third Proportional to 93,484 and 203,881

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Solution

The third proportional to 93,484 and 203,881 is: 444,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,484 : 203,881 = 203,881 : x
  2. Step 2: Convert to fraction form
    93,484/203,881 = 203,881/x
  3. Step 3: Cross multiply
    93,484x = 203,881 × 203,881
  4. Step 4: Simplify right side
    93,484x = 41,567,462,161
  5. Step 5: Solve for x
    x = 41,567,462,161/93,484
  6. Step 6: Final answer
    x = 444,647.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.