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Finding the Third Proportional to 140,534 and 331,739

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Solution

The third proportional to 140,534 and 331,739 is: 783,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,534 : 331,739 = 331,739 : x
  2. Step 2: Convert to fraction form
    140,534/331,739 = 331,739/x
  3. Step 3: Cross multiply
    140,534x = 331,739 × 331,739
  4. Step 4: Simplify right side
    140,534x = 110,050,764,121
  5. Step 5: Solve for x
    x = 110,050,764,121/140,534
  6. Step 6: Final answer
    x = 783,089.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.