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Finding the Third Proportional to 105,772 and 221,920

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Solution

The third proportional to 105,772 and 221,920 is: 465,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,772 : 221,920 = 221,920 : x
  2. Step 2: Convert to fraction form
    105,772/221,920 = 221,920/x
  3. Step 3: Cross multiply
    105,772x = 221,920 × 221,920
  4. Step 4: Simplify right side
    105,772x = 49,248,486,400
  5. Step 5: Solve for x
    x = 49,248,486,400/105,772
  6. Step 6: Final answer
    x = 465,609.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.