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Finding the Third Proportional to 145,911 and 267,846

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Solution

The third proportional to 145,911 and 267,846 is: 491,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,911 : 267,846 = 267,846 : x
  2. Step 2: Convert to fraction form
    145,911/267,846 = 267,846/x
  3. Step 3: Cross multiply
    145,911x = 267,846 × 267,846
  4. Step 4: Simplify right side
    145,911x = 71,741,479,716
  5. Step 5: Solve for x
    x = 71,741,479,716/145,911
  6. Step 6: Final answer
    x = 491,679.72

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.