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Finding the Third Proportional to 296,912 and 608,400

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Solution

The third proportional to 296,912 and 608,400 is: 1,246,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,912 : 608,400 = 608,400 : x
  2. Step 2: Convert to fraction form
    296,912/608,400 = 608,400/x
  3. Step 3: Cross multiply
    296,912x = 608,400 × 608,400
  4. Step 4: Simplify right side
    296,912x = 370,150,560,000
  5. Step 5: Solve for x
    x = 370,150,560,000/296,912
  6. Step 6: Final answer
    x = 1,246,667.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.