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Finding the Third Proportional to 156,923 and 343,005

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Solution

The third proportional to 156,923 and 343,005 is: 749,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,923 : 343,005 = 343,005 : x
  2. Step 2: Convert to fraction form
    156,923/343,005 = 343,005/x
  3. Step 3: Cross multiply
    156,923x = 343,005 × 343,005
  4. Step 4: Simplify right side
    156,923x = 117,652,430,025
  5. Step 5: Solve for x
    x = 117,652,430,025/156,923
  6. Step 6: Final answer
    x = 749,746.25

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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.