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Finding the Third Proportional to 179,935 and 387,113

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Solution

The third proportional to 179,935 and 387,113 is: 832,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,935 : 387,113 = 387,113 : x
  2. Step 2: Convert to fraction form
    179,935/387,113 = 387,113/x
  3. Step 3: Cross multiply
    179,935x = 387,113 × 387,113
  4. Step 4: Simplify right side
    179,935x = 149,856,474,769
  5. Step 5: Solve for x
    x = 149,856,474,769/179,935
  6. Step 6: Final answer
    x = 832,836.72

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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.