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Finding the Third Proportional to 64,772 and 140,920

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Solution

The third proportional to 64,772 and 140,920 is: 306,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,772 : 140,920 = 140,920 : x
  2. Step 2: Convert to fraction form
    64,772/140,920 = 140,920/x
  3. Step 3: Cross multiply
    64,772x = 140,920 × 140,920
  4. Step 4: Simplify right side
    64,772x = 19,858,446,400
  5. Step 5: Solve for x
    x = 19,858,446,400/64,772
  6. Step 6: Final answer
    x = 306,589.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.