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Finding the Third Proportional to 215,758 and 334,997

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Solution

The third proportional to 215,758 and 334,997 is: 520,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,758 : 334,997 = 334,997 : x
  2. Step 2: Convert to fraction form
    215,758/334,997 = 334,997/x
  3. Step 3: Cross multiply
    215,758x = 334,997 × 334,997
  4. Step 4: Simplify right side
    215,758x = 112,222,990,009
  5. Step 5: Solve for x
    x = 112,222,990,009/215,758
  6. Step 6: Final answer
    x = 520,133.62

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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.