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Finding the Third Proportional to 267,459 and 393,000

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Solution

The third proportional to 267,459 and 393,000 is: 577,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,459 : 393,000 = 393,000 : x
  2. Step 2: Convert to fraction form
    267,459/393,000 = 393,000/x
  3. Step 3: Cross multiply
    267,459x = 393,000 × 393,000
  4. Step 4: Simplify right side
    267,459x = 154,449,000,000
  5. Step 5: Solve for x
    x = 154,449,000,000/267,459
  6. Step 6: Final answer
    x = 577,467.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.