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Finding the Third Proportional to 155,782 and 338,904

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Solution

The third proportional to 155,782 and 338,904 is: 737,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,782 : 338,904 = 338,904 : x
  2. Step 2: Convert to fraction form
    155,782/338,904 = 338,904/x
  3. Step 3: Cross multiply
    155,782x = 338,904 × 338,904
  4. Step 4: Simplify right side
    155,782x = 114,855,921,216
  5. Step 5: Solve for x
    x = 114,855,921,216/155,782
  6. Step 6: Final answer
    x = 737,286.22

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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.