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Finding the Third Proportional to 155,414 and 338,503

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Solution

The third proportional to 155,414 and 338,503 is: 737,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,414 : 338,503 = 338,503 : x
  2. Step 2: Convert to fraction form
    155,414/338,503 = 338,503/x
  3. Step 3: Cross multiply
    155,414x = 338,503 × 338,503
  4. Step 4: Simplify right side
    155,414x = 114,584,281,009
  5. Step 5: Solve for x
    x = 114,584,281,009/155,414
  6. Step 6: Final answer
    x = 737,284.16

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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.