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Finding the Third Proportional to 155,240 and 338,704

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Solution

The third proportional to 155,240 and 338,704 is: 738,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,240 : 338,704 = 338,704 : x
  2. Step 2: Convert to fraction form
    155,240/338,704 = 338,704/x
  3. Step 3: Cross multiply
    155,240x = 338,704 × 338,704
  4. Step 4: Simplify right side
    155,240x = 114,720,399,616
  5. Step 5: Solve for x
    x = 114,720,399,616/155,240
  6. Step 6: Final answer
    x = 738,987.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.