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Finding the Third Proportional to 135,911 and 207,416

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Solution

The third proportional to 135,911 and 207,416 is: 316,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,911 : 207,416 = 207,416 : x
  2. Step 2: Convert to fraction form
    135,911/207,416 = 207,416/x
  3. Step 3: Cross multiply
    135,911x = 207,416 × 207,416
  4. Step 4: Simplify right side
    135,911x = 43,021,397,056
  5. Step 5: Solve for x
    x = 43,021,397,056/135,911
  6. Step 6: Final answer
    x = 316,540.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.