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Finding the Third Proportional to 29,665 and 63,949

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Solution

The third proportional to 29,665 and 63,949 is: 137,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,665 : 63,949 = 63,949 : x
  2. Step 2: Convert to fraction form
    29,665/63,949 = 63,949/x
  3. Step 3: Cross multiply
    29,665x = 63,949 × 63,949
  4. Step 4: Simplify right side
    29,665x = 4,089,474,601
  5. Step 5: Solve for x
    x = 4,089,474,601/29,665
  6. Step 6: Final answer
    x = 137,855.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.