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Finding the Third Proportional to 138,286 and 301,600

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Solution

The third proportional to 138,286 and 301,600 is: 657,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,286 : 301,600 = 301,600 : x
  2. Step 2: Convert to fraction form
    138,286/301,600 = 301,600/x
  3. Step 3: Cross multiply
    138,286x = 301,600 × 301,600
  4. Step 4: Simplify right side
    138,286x = 90,962,560,000
  5. Step 5: Solve for x
    x = 90,962,560,000/138,286
  6. Step 6: Final answer
    x = 657,785.75

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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.