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Finding the Third Proportional to 155,787 and 338,911

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Solution

The third proportional to 155,787 and 338,911 is: 737,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,787 : 338,911 = 338,911 : x
  2. Step 2: Convert to fraction form
    155,787/338,911 = 338,911/x
  3. Step 3: Cross multiply
    155,787x = 338,911 × 338,911
  4. Step 4: Simplify right side
    155,787x = 114,860,665,921
  5. Step 5: Solve for x
    x = 114,860,665,921/155,787
  6. Step 6: Final answer
    x = 737,293.01

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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.