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Finding the Third Proportional to 29,978 and 64,330

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Solution

The third proportional to 29,978 and 64,330 is: 138,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978 : 64,330 = 64,330 : x
  2. Step 2: Convert to fraction form
    29,978/64,330 = 64,330/x
  3. Step 3: Cross multiply
    29,978x = 64,330 × 64,330
  4. Step 4: Simplify right side
    29,978x = 4,138,348,900
  5. Step 5: Solve for x
    x = 4,138,348,900/29,978
  6. Step 6: Final answer
    x = 138,046.20

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