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Finding the Third Proportional to 428,193 and 922,158

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Solution

The third proportional to 428,193 and 922,158 is: 1,985,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,193 : 922,158 = 922,158 : x
  2. Step 2: Convert to fraction form
    428,193/922,158 = 922,158/x
  3. Step 3: Cross multiply
    428,193x = 922,158 × 922,158
  4. Step 4: Simplify right side
    428,193x = 850,375,376,964
  5. Step 5: Solve for x
    x = 850,375,376,964/428,193
  6. Step 6: Final answer
    x = 1,985,962.82

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Why These Related Problems?

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