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Finding the Third Proportional to 156,082 and 330,740

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Solution

The third proportional to 156,082 and 330,740 is: 700,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,082 : 330,740 = 330,740 : x
  2. Step 2: Convert to fraction form
    156,082/330,740 = 330,740/x
  3. Step 3: Cross multiply
    156,082x = 330,740 × 330,740
  4. Step 4: Simplify right side
    156,082x = 109,388,947,600
  5. Step 5: Solve for x
    x = 109,388,947,600/156,082
  6. Step 6: Final answer
    x = 700,842.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.