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Finding the Third Proportional to 135,978 and 294,552

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Solution

The third proportional to 135,978 and 294,552 is: 638,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,978 : 294,552 = 294,552 : x
  2. Step 2: Convert to fraction form
    135,978/294,552 = 294,552/x
  3. Step 3: Cross multiply
    135,978x = 294,552 × 294,552
  4. Step 4: Simplify right side
    135,978x = 86,760,880,704
  5. Step 5: Solve for x
    x = 86,760,880,704/135,978
  6. Step 6: Final answer
    x = 638,050.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.