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Finding the Third Proportional to 93,833 and 138,267

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Solution

The third proportional to 93,833 and 138,267 is: 203,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,833 : 138,267 = 138,267 : x
  2. Step 2: Convert to fraction form
    93,833/138,267 = 138,267/x
  3. Step 3: Cross multiply
    93,833x = 138,267 × 138,267
  4. Step 4: Simplify right side
    93,833x = 19,117,763,289
  5. Step 5: Solve for x
    x = 19,117,763,289/93,833
  6. Step 6: Final answer
    x = 203,742.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.