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Finding the Third Proportional to 156,744 and 343,535

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Solution

The third proportional to 156,744 and 343,535 is: 752,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744 : 343,535 = 343,535 : x
  2. Step 2: Convert to fraction form
    156,744/343,535 = 343,535/x
  3. Step 3: Cross multiply
    156,744x = 343,535 × 343,535
  4. Step 4: Simplify right side
    156,744x = 118,016,296,225
  5. Step 5: Solve for x
    x = 118,016,296,225/156,744
  6. Step 6: Final answer
    x = 752,923.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.