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Finding the Third Proportional to 155,837 and 338,998

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Solution

The third proportional to 155,837 and 338,998 is: 737,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,837 : 338,998 = 338,998 : x
  2. Step 2: Convert to fraction form
    155,837/338,998 = 338,998/x
  3. Step 3: Cross multiply
    155,837x = 338,998 × 338,998
  4. Step 4: Simplify right side
    155,837x = 114,919,644,004
  5. Step 5: Solve for x
    x = 114,919,644,004/155,837
  6. Step 6: Final answer
    x = 737,434.91

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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.