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Finding the Third Proportional to 216,978 and 335,295

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Solution

The third proportional to 216,978 and 335,295 is: 518,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,978 : 335,295 = 335,295 : x
  2. Step 2: Convert to fraction form
    216,978/335,295 = 335,295/x
  3. Step 3: Cross multiply
    216,978x = 335,295 × 335,295
  4. Step 4: Simplify right side
    216,978x = 112,422,737,025
  5. Step 5: Solve for x
    x = 112,422,737,025/216,978
  6. Step 6: Final answer
    x = 518,129.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.