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Finding the Third Proportional to 297,100 and 613,880

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Solution

The third proportional to 297,100 and 613,880 is: 1,268,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,100 : 613,880 = 613,880 : x
  2. Step 2: Convert to fraction form
    297,100/613,880 = 613,880/x
  3. Step 3: Cross multiply
    297,100x = 613,880 × 613,880
  4. Step 4: Simplify right side
    297,100x = 376,848,654,400
  5. Step 5: Solve for x
    x = 376,848,654,400/297,100
  6. Step 6: Final answer
    x = 1,268,423.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.