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Finding the Third Proportional to 207,978 and 334,935

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Solution

The third proportional to 207,978 and 334,935 is: 539,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,978 : 334,935 = 334,935 : x
  2. Step 2: Convert to fraction form
    207,978/334,935 = 334,935/x
  3. Step 3: Cross multiply
    207,978x = 334,935 × 334,935
  4. Step 4: Simplify right side
    207,978x = 112,181,454,225
  5. Step 5: Solve for x
    x = 112,181,454,225/207,978
  6. Step 6: Final answer
    x = 539,390.97

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.