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Finding the Third Proportional to 156,828 and 339,574

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Solution

The third proportional to 156,828 and 339,574 is: 735,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,828 : 339,574 = 339,574 : x
  2. Step 2: Convert to fraction form
    156,828/339,574 = 339,574/x
  3. Step 3: Cross multiply
    156,828x = 339,574 × 339,574
  4. Step 4: Simplify right side
    156,828x = 115,310,501,476
  5. Step 5: Solve for x
    x = 115,310,501,476/156,828
  6. Step 6: Final answer
    x = 735,267.31

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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.