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Finding the Third Proportional to 155,909 and 336,766

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Solution

The third proportional to 155,909 and 336,766 is: 727,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,909 : 336,766 = 336,766 : x
  2. Step 2: Convert to fraction form
    155,909/336,766 = 336,766/x
  3. Step 3: Cross multiply
    155,909x = 336,766 × 336,766
  4. Step 4: Simplify right side
    155,909x = 113,411,338,756
  5. Step 5: Solve for x
    x = 113,411,338,756/155,909
  6. Step 6: Final answer
    x = 727,420.09

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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.