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Finding the Third Proportional to 93,986 and 221,789

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Solution

The third proportional to 93,986 and 221,789 is: 523,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,986 : 221,789 = 221,789 : x
  2. Step 2: Convert to fraction form
    93,986/221,789 = 221,789/x
  3. Step 3: Cross multiply
    93,986x = 221,789 × 221,789
  4. Step 4: Simplify right side
    93,986x = 49,190,360,521
  5. Step 5: Solve for x
    x = 49,190,360,521/93,986
  6. Step 6: Final answer
    x = 523,379.66

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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.