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Finding the Third Proportional to 93,537 and 204,948

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Solution

The third proportional to 93,537 and 204,948 is: 449,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,537 : 204,948 = 204,948 : x
  2. Step 2: Convert to fraction form
    93,537/204,948 = 204,948/x
  3. Step 3: Cross multiply
    93,537x = 204,948 × 204,948
  4. Step 4: Simplify right side
    93,537x = 42,003,682,704
  5. Step 5: Solve for x
    x = 42,003,682,704/93,537
  6. Step 6: Final answer
    x = 449,059.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.