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Finding the Third Proportional to 156,731 and 339,706

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Solution

The third proportional to 156,731 and 339,706 is: 736,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,731 : 339,706 = 339,706 : x
  2. Step 2: Convert to fraction form
    156,731/339,706 = 339,706/x
  3. Step 3: Cross multiply
    156,731x = 339,706 × 339,706
  4. Step 4: Simplify right side
    156,731x = 115,400,166,436
  5. Step 5: Solve for x
    x = 115,400,166,436/156,731
  6. Step 6: Final answer
    x = 736,294.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.