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Finding the Third Proportional to 155,511.56 and 338,679.56

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Solution

The third proportional to 155,511.56 and 338,679.56 is: 737,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,511.56 : 338,679.56 = 338,679.56 : x
  2. Step 2: Convert to fraction form
    155,511.56/338,679.56 = 338,679.56/x
  3. Step 3: Cross multiply
    155,511.56x = 338,679.56 × 338,679.56
  4. Step 4: Simplify right side
    155,511.56x = 114,703,846,055.19
  5. Step 5: Solve for x
    x = 114,703,846,055.19/155,511.56
  6. Step 6: Final answer
    x = 737,590.47

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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.