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Finding the Third Proportional to 155,372 and 338,423

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Solution

The third proportional to 155,372 and 338,423 is: 737,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,372 : 338,423 = 338,423 : x
  2. Step 2: Convert to fraction form
    155,372/338,423 = 338,423/x
  3. Step 3: Cross multiply
    155,372x = 338,423 × 338,423
  4. Step 4: Simplify right side
    155,372x = 114,530,126,929
  5. Step 5: Solve for x
    x = 114,530,126,929/155,372
  6. Step 6: Final answer
    x = 737,134.92

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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.