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Finding the Third Proportional to 93,986 and 221,788

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Solution

The third proportional to 93,986 and 221,788 is: 523,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,986 : 221,788 = 221,788 : x
  2. Step 2: Convert to fraction form
    93,986/221,788 = 221,788/x
  3. Step 3: Cross multiply
    93,986x = 221,788 × 221,788
  4. Step 4: Simplify right side
    93,986x = 49,189,916,944
  5. Step 5: Solve for x
    x = 49,189,916,944/93,986
  6. Step 6: Final answer
    x = 523,374.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.