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Finding the Third Proportional to 156,942 and 339,640

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Solution

The third proportional to 156,942 and 339,640 is: 735,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,942 : 339,640 = 339,640 : x
  2. Step 2: Convert to fraction form
    156,942/339,640 = 339,640/x
  3. Step 3: Cross multiply
    156,942x = 339,640 × 339,640
  4. Step 4: Simplify right side
    156,942x = 115,355,329,600
  5. Step 5: Solve for x
    x = 115,355,329,600/156,942
  6. Step 6: Final answer
    x = 735,018.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.