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Finding the Third Proportional to 29,980 and 64,577

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Solution

The third proportional to 29,980 and 64,577 is: 139,099.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980 : 64,577 = 64,577 : x
  2. Step 2: Convert to fraction form
    29,980/64,577 = 64,577/x
  3. Step 3: Cross multiply
    29,980x = 64,577 × 64,577
  4. Step 4: Simplify right side
    29,980x = 4,170,188,929
  5. Step 5: Solve for x
    x = 4,170,188,929/29,980
  6. Step 6: Final answer
    x = 139,099.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.