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Finding the Third Proportional to 105,599 and 219,935

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Solution

The third proportional to 105,599 and 219,935 is: 458,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,599 : 219,935 = 219,935 : x
  2. Step 2: Convert to fraction form
    105,599/219,935 = 219,935/x
  3. Step 3: Cross multiply
    105,599x = 219,935 × 219,935
  4. Step 4: Simplify right side
    105,599x = 48,371,404,225
  5. Step 5: Solve for x
    x = 48,371,404,225/105,599
  6. Step 6: Final answer
    x = 458,066.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.